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114 |
Representation varieties of Fuchsian groups |
M. Larsen, A. Lubotzky |
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113 |
Manifolds counting and class field towers |
M. Beliolipetsky, A. Lubotzky |
2012 |
Advances in Mathematics 229 (2012) 3123-3146 |
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112 |
Sieve methods in group theory II. The Torelli group |
A. Lubotzky and C. Meiri |
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in preparation |
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111 |
Expander graphs in pure and applied mathematics (notes for the colloquium lectures, AMS annual meating 2001) |
A. Lubotzky |
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in preparation |
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110 |
Sieve method in group theory I. Powers in linear groups |
A. Lubotzky and C. Meiri |
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in preparation |
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109 |
Conjugacy growth of linear groups |
E. Breuillard, Y. de Cornulier, A. Lubotzky and C. Meiri |
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in preparation |
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108 |
Invariable generation and the Chebotarev invariant of a finite group |
W. M. Kantor, A. Lubotzky and A. Shalev |
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preprint |
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107 |
Lattices with and lattices without spectral gap |
B. Bekka and A. Lubotzky |
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106 |
Beauville surfaces and finite simple groups |
S. Garion, M. Larsen and A. Lubotzky |
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105 |
Remarks on Proeficient groups |
R. M. Guralnick,W. M. Kantor, M. Kassabov and A. Lubotzky |
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Journal of Algebra |
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104 |
Finite simple groups of Lie type as expanders |
A. Lubotzky |
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J. of the European Math. Soc. |
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103 |
Counting arithmetic lattices and surfaces, Annals of Mathematics |
M. Belolipetsky, T. Gelander, A. Lubotzky and A. Shalev |
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102 |
The dynamic of Aut(Fn)-actions on group presentations and representation |
A. Lubotzky |
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in a special volume dedicated to R.J. Zimmer |
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101 |
Linear representations of the automorphism groups of free groups |
F. Grunewald , A. Lubotzky |
2009 |
Geometric and Functional Analysis (GAFA),18 (2009), 1564-1608 |
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100 |
Presentation of finite
simple groups: a computational approach |
R.M. Guralnick, W.M.
Kantor, M. Kassabov, A. Lubotzky |
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J. of the European Math. Soc.,
to appear |
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99 |
Elementary equivalence of
profinite groups |
M. Jarden, A. Lubotzky |
2008 |
Bull. London Math. Soc.
40 (2008), 887–896 |
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98 |
Heegard genus and property
tau for hyperbolic 3-manifolds |
D. D. Long, A. W. Reid, A.
Lubotzky |
2008 |
J. Topol. 1 (2008), no. 1, 152-158 |
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97 |
Representation growth for
linear groups |
M. Larsen, A. Lubotzky |
2008 |
J. of the European Math. Soc.
10 (2008), 351–390 |
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96 |
Presentation of finite simple groups: cohomological and profinite approaches |
R.M. Guralnick, W.M. Kantor, M. Kassabov, A. Lubotzky |
2006 |
Groups Geom. Dyn. 1
(2007), no. 4, 469-523. |
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95 |
Presentation of Finite Simple Groups: A Quantitative Approach |
R.M. Guralnick, W.M. Kantor, M. Kassabov, A. Lubotzky |
2008 |
Journal of the American Math. Soc. 21
(2008), 711–774 |
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94 |
Dimension expanders |
E. Zelmanov, A. Lubotzky |
2006 |
J. Algebra 319 (2008), no.
2, 730-738 |
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93 |
A |
A. Lubotzky, R. Meshulam |
2006 |
Bull. Lond. Math. Soc. 39 (2007), no. 3, 353-358 |
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92 |
On Presentations and Second Cohomology of Some Finite Groups |
I. Korchagina, A. Lubotzky |
2006 |
Publ. Math. Debrecen 69 (2006), no. 3, 341-352 |
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91 |
Finite simple groups as expanders |
M. Kassabov, A. Lubotzky, N. Nikolov |
2006 |
PNAS. 103, 6116-6119 |
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90 |
Isospectral Cayley graphs of some finite simple groups |
A. Lubotzky, B. Samuels, U. Vishne |
2006 |
Duke Math j.135 (2006), no.2, 381-393 |
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89 |
Division algebras and noncommensurable isospectral manifolds |
A. Lubotzky, B. Samuels, U. Vishne |
2006 |
Duke Math j.135 (2006), no.2, 361-379 |
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88 |
Finite prepresentation of adelic groups, the congruence kernel and cohomology of finite simple groups |
A. Lubotzky |
2005 |
Quarterly of Pure and Applied Mathematics (Borel Volume), 1, 241-256 |
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Finite groups and hyperbolic manifolds |
M. Belolipetsky, A. Lubotzky |
2005 |
Invent. Math.162, 459-472 |
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86 |
Explicit construction of Ramanujan complexes of type Ad |
A. Lubotzky, B. Samuels, V Vishne |
2005 |
Europ. J. of Combinatorics. 26, 965-993 |
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Ramanujan complexes of type Ad |
A. Lubotzky, B. Samuels, V. Vishne |
2005 |
Israel J. Math. 149, 267-299 |
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84 |
The Finitary Andrew-Curtis Conjecture, in: Infinite Groups: geometric, combinatorial and dinamical aspects |
A. Borovik, A. Lubotzky, A. Myasmikov |
2005 |
Progress in Math. 248, 15-30 |
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83 |
Some more super-rigid groups, in:"Geometry, Graphs and Dynamics: Proceedings in Memory of Robert Brooks" |
A. Lubotzky |
2005 |
Israel Mathematical Conference Proceeding, Contemporary Mathematics, AMS 387, 273-244 |
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82 |
Polynomial representation growth and the congruence subgroup problem |
A. Lubotzky, B. Martin |
2004 |
Israel J. of Math. 144, 293-316 |
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81 |
Finite representations in the unitary dual and ramanujan groups |
A. Lubotzky, Y. Shalom |
2004 |
AMS Contemporary Math. 347, 173-189 |
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80 |
Subgroup growth of lattices in semi-simple groups |
A. Lubotzky, N. Nikolov |
2004 |
Acta. Math. 193, 105-139 |
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79 |
Counting congruence subgroups |
D. Goldfeld, A. Lubotzky, L. Pyber |
2004 |
Acta Math. 193, 73-104 |
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78 |
Counting primes, groups and manifolds |
D. Goldfeld, A. Lubotzky, N. Nikolov, L. Pyber |
2004 |
Proc. of National Acad. of Sci. USA, 101, 13428-13430 |
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77 |
The expected number of random elements to generate a finite group |
A. Lubotzky |
2002 |
J. of Algebra 257 452-459 |
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76 |
Bounded generation and linear groups |
M. Abert, A Lubotzky |
2003 |
Internat. J. Algebra Comput. 13, no. 4, 401-413 |
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75 |
Counting hyperbolic manifolds |
M. Burger, T Gelander, A Lubotzky, S Mozes |
2002 |
Geometric and Functional Analysis 12 1161-1173 |
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74 |
On linear groups of polynomal normal subgroup growth; the (G2 F4 E8) theorem |
M. Larsen, A. Lubotzky |
2001 |
Algebraic groups & Arithmetic, Ed. S.G.Dani, G. Prasad, Tata inst. Fund. Res. Stud. Math. 441-468, TIFR, Mumbai |
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73 |
Semi-direct product in groups and zig-zag product in graphs |
N. Alon, A. Lubotzky, A Wigderson |
2001 |
Proc. 42 IEEE FOCS 630-637 |
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72 |
The pro-algebraic completion of rigid groups |
H. Bass, A Lubotzky, A Magid, S. Moses |
2002 |
Geom. Dedicata 95 19-58 |
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71 |
Profinite presentations |
A Lubotzky |
2001 |
J. of Algebra 242 672-690 |
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Product replacement algorithm and Kazhdan property |
A Lubotzky, I. Pak |
2001 |
J. American Math. Soc. 14 347-363 |
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69 |
Enumerating boundedly generated finite groups |
A. Lubotzky |
2001 |
J. of Algebra 238 194-199 |
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68 |
Rank one phenomena for mapping class groups |
A. Lubotzky, Y. Minsky, B. Farb |
2001 |
Duke J. of Math. 106 581-597 |
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67 |
A charachterization of S-arithmetic groups in higher rank semi-simple groups |
A. Lubotzky, T.N. Venkataramana |
2002 |
Geom. Dedicata 90 1-28 |
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66 |
Arithmetic Structure of fundemental groups and actions of semisimple Lie groups |
A. Lubotzky, R.J. Zimmer |
2001 |
Topology 40 851-869 |
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65 |
The word and Riemannian metrics on lattices of semi-simple groups |
A Lubotzky, S. Mozes, M.S. Raghunathan |
2000 |
Publ. Math. IHES 91 5-53 |
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64 |
Non Arithmetic, Super rigid groups: Conterexamples to Platonov's conjecture |
H. Bass, A Lubotzky |
2000 |
Ann. of Math 151 1151-1173 |
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63 |
Random normal subgroups of free pro finite groups |
M. Jarden, A Lubotzky |
1999 |
J. of Group Theory 2 213-224 |
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62 |
Lattices of minimal covolume in SL2 over non archimeadean fields |
A. Lubotzky, T Weigel |
1999 |
Proc. London Math Soc. 78 283-333 |
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61 |
One for allmost all: Generation of SL(n,p) by subsets of SL(n,Z) |
A Lubotzky |
1999 |
Contemporary Math. 243 125-128 AMS Providence RI |
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Not every uniform tree covers Ramanujan graphs |
A. Lubotzky, T. Nagnibeda |
1998 |
J. Comb. Th. B 74 202-212 |
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59 |
Eigenvalues of the Laplacian, The first Betti number and the congruence subgroup problem |
A. Lubotzky |
1997 |
Ann. of Math. 145 441-452 |
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58 |
A Cannonical arithmetic quotient for simple Lie group actions |
A. Lubotzky, R.J. Zimmer |
1996 |
proc. of the conf. "Ergodic Theory and Lie Groups" Bombay |
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57 |
Free quotients and the first Betti number of some hyperbolic manifolds |
A. Lubotzky |
1996 |
Transformation Groups 171-82 |
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56 |
Discrete groups of subgroup growth |
A. Lubotzky, L. Pyber, A. Shalev |
1996 |
Israel J. of Math. 96 399-418 |
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55 |
Functional equations and uniformity for local zeta functions of nilpotent groups |
M.P.F Du Sautoy, A. Lubotzky |
1996 |
Amer. J. of Math. 118 39-90 |
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54 |
Powers in finitely generated groups |
E. Hrushovsky, P.H. Kropholer, A. Lubotzky, A. Shalev |
1996 |
Trans of the AMS 348 291-304 |
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53 |
Counting finite index subgroups |
A. Lubotzky |
1995 |
lecture notes LMS 212 368-404 Cambridge Univ. |
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||
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52 |
Tree lattices and lattices in Lie groups |
A. Lubotzky |
1995 |
lecture notes LMS 204 217-232 Cambridge Univ. |
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51 |
Cayley graphs: eigenvalues, expanders and random walks |
A. Lubotzky |
1995 |
lecture notes LMS 218 155-189 Cambridge Univ. |
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Subgroup growth |
A Lubotzky |
1995 |
Proc. of Int. Congress of Math. 1 309-317 Birkhauzer |
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49 |
Subgroup growth and congruence subgroups |
A. Lubotzky |
1995 |
Invent. Math. 119 267-295 |
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48 |
Linear central filtrations on groups |
H. Bass, A. Lubotzky |
1994 |
Contemporary Math. 169 AMS |
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47 |
Super rigidity for the commensurabilitygroup of tree lattices |
A. Lubotzky, S. Moses, R.J. Zimmer |
1994 |
Comment. Math. Helv. 69 523-548 |
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46 |
Rigidity of groups actions on locally finite trees |
H. Bass, A. Lubotzky |
1994 |
Proc. Lond. Math. Soc. 69 541-575 |
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45 |
On some analytic pro-p groups |
A. Lubotzky, A. Shalev |
1994 |
Israel J. of Math. 85 307-337 |
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44 |
Cyclic subgroups of exponential growth and metrics on descerete groups |
A. Lubotzky, S. Mozes, M.S. Raghunathan |
1993 |
Adad. Sci. 317 735-740 |
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43 |
Groups of expandness - in: "Expanding Graphs" |
A. Lubotzky, B. Weiss |
1993 |
DIMACS, series in descrete math. and theory of cs. |
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||
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42 |
Finitely generated groupsof polynomial subgroup growth |
A. Lubotzky, A. Mann, D. Segal |
1993 |
Israel J. of Math. 82 363-371 |
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41 |
Torsion in the profinite completion of torsion free groups |
A. Lubotzky |
1993 |
Oxford Quar. J. of Math. 44 327-332 |
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Random elements of free profinite group generate a free subgroup |
A. Lubotzky |
1993 |
Illinois J. of Math 37 78-84 |
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39 |
Asymptotic properties of unitary representations of tree automorphysm |
A. Lubotzky, S. Mozes |
1992 |
Plenum Press, New York |
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38 |
Hilbertian fields and free profinite groups |
A. Jarden, A. Lubotzky |
1992 |
J. of the London Math. Soc.46 205-227 |
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37 |
Lattices in rank one Lie groups over local fields |
A. Lubotzky |
1991 |
Geometric & Functional Anlysis 1 405-431 |
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36 |
Groups of polynomyal subgroup growth |
A. Lubotzky, A. Mann |
1991 |
Inventiones Math. 104 521-533 |
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35 |
On the diameter of finite groups |
L. Babai, G. Hetyei, W.M. Kantor, A. Lubotzky, A. Seress |
1990 |
proc. of "Foundations of CS 1990" (FOCS) |
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34 |
Lattices of minimal covolume in SL2 A non archemedean analogue of Siegel's theorem |
A. Lubotzky |
1990 |
J. of American Math. Soc. 3 961-975 |
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33 |
The probability of generating a finite simple group |
W.M. Kantor, A. Lubotzky |
1990 |
Geom. Dedicata 36 67-87 |
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32 |
Locally symmetric graphs of prescribed girth and coxeter groups |
A. Lubotzky |
1990 |
J. of Discrete Math. 3 177-180 |
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31 |
Residually finite groups of finite rank |
A. Lubotzky, A. Mann |
1989 |
math. proc. of Cambridge Phil. Soc. 106 385-388 |
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Variants of Kazhdan's property for discrete subgroups of semi-simple groups |
A. Lubotzky, R.J. Zimmer |
1989 |
Israel J. of Math. 66 289-299 |
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29 |
Trees and discrete subgroups of Lie groups over local fields |
A. Lubotzky |
1989 |
Bull. Amer. Math. Soc. 20 27-30 |
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28 |
Small diameter Cayley graphs for finite simple groups |
L. Babai, W.M. Kantor, A Lubotzky |
1989 |
Europ. J. of Combinatorics 10 507-522 |
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27 |
Group theoretic characterization of linear groups |
A. Lubotzky |
1988 |
J. of Algebra 113207-214 |
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26 |
Ramanujan graphs |
A. Lubotzky, R. Phillips, P. Sarnak |
1988 |
Combinatorica 8 261-277 |
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25 |
Local structure of representation varieties |
A. Lubotzky, A Magid |
1987 |
proc. of "Geometry of Group Representation" Contemp. Math. 74 215-235 AMS |
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24 |
On finite index subgroups of linear groups. |
A. Lubotzky |
1987 |
Bull. London Math. Soc. 19 325-328 |
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23 |
Hecke operators and distributing points on the sphere II |
A. Lubotzky, R. Phillips, R. Sarnak |
1987 |
Communications on Pure and Applied Math.40 401-420 |
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22 |
Power-full p-groups II. p-adic analytic groups |
A. Lubotzky, A. Mann |
1987 |
J. of Algebra 105 506-515 |
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21 |
Power-full p-groups I. Finite groups |
A. Lubotzky, A. Mann |
1987 |
J. of Algebra 105 485-505 |
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Dimension function for discrete groups |
A. Lubotzky |
1986 |
Groups-St. Andrews 1985 254-262 Cambridge univ. press |
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19 |
Hecke operators and distributing points on the sphere I |
A. Lubotzky, R. Phillips, R. Sarnak |
1986 |
Communications on Pure and Applied Math. 39 149-186 |
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18 |
Explicit expanders and the Ramanujan conjectures |
A. Lubotzky, R. Phillips, R. Sarnak |
1986 |
proc. of the 18th Annual ACM Symposium on Theory of Computing STOC 240-246 |
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17 |
On problem of magnus, |
A. Lubotzky |
1986 |
proc. of the AMS 98 583-585 |
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16 |
Maximal abelian subgroups of free profinite groups |
D. Haran, A. Lubotzky |
1985 |
proc. Cambridge Phil. Soc. 97 51-55 |
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15 |
Cohomology, poincare series and group algebras of unipotent groups |
A. Lubotzky, A. Magid |
1985 |
Amer. J. of Math. 107 531-553 |
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14 |
An embedding theorem for pro-finite groups |
A. Lubotzky, J. Wilson |
1984 |
Archiv der Mathematik 42 397-399 |
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13 |
Abelian and solvable subgroups of the mapping class groups |
J. Birman, A. Lubotzky, J. McCarthy |
1983 |
Duke J. of Math. 50 1107-1120 |
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12 |
Group presentations, p-adic analytic groups and lattices in SL (2,C) |
A. Lubotzky |
1983 |
Ann. of Math. 118 115-130 |
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11 |
Automorphism of schemes and of subgroups of finite type |
H. Bass, A. Lubotzky |
1983 |
Israel J. of Math. 44 1-22 |
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Free pro-unipotent groups |
A. Lubotzky, A. Magid |
1983 |
J. of Algebra 80 323-349 |
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9 |
Unipotent and pro-unipotent groups; cohomology and presentations |
A. Lubotzky, A. Magid |
1982 |
Bulletin of AMS 7 251-254 |
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8 |
Combinatorial group theory of pro-p groups |
A. Lubotzky |
1982 |
Journal of Pure and Applied Math. 25 311-325 |
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7 |
Embedding covers and the theory of frobenius fields |
D. Haran, A. Lubotzky |
1982 |
Israel J. of Math. 41 181-202 |
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6 |
Free quotients and the congruence kernel of SL (2) |
A. Lubotzky |
1982 |
J. of Algebra 77 411-418 |
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5 |
Cohomology of unipotent and pro-unipotent groups |
A. Lubotzky, A. Magid |
1982 |
J.l of Algebra 74 76-95 |
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4 |
Subgroups of free pro-finite groups and large subfields of Q |
A. Lubotzky, L. Van den dreis |
1981 |
Israel J. of Math. 39 25-45 |
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3 |
Tannaka duality for discrete groups |
A. Lubotzky |
1980 |
Amer. J. of Math. 102 663-689 |
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2 |
Normal automorphism of free groups |
A. Lubotzky |
1980 |
J. of Algebra |
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1 |
On a problem of Grothendiek |
A. Lubotzky |
1978 |
Proc. Algebraic Geometry meeting, Lecture notes in math. 732 374-383 |
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