137

Random Steiner systems and bounded degree coboundary expanders of every dimension

Alexander Lubotzky, Zur Luria and Ron Rosenthal





pdf

136

A trichotomy theorem for tranaformation groups of locally symmetric manifolds and topological rigidity

Sylvain Cappell, Alexander Lubotzky, and Shmuel Weinberger





pdf

135

Presentations: from KacMoody groups to profinite and back

I. Capdebosoq, A. Lubotzky and B. Remy


Transformation Groups 21, no. 4 (2016): 929951



pdf

134

Sliceable groups and towers of fields

S. Boge, M. Jarden and A. Lubotzky


Journal of Group Theory, to appear



pdf

133

Mixing properties and the chromatic number of Ramanujan complexes

S. Evra, C. Golubev and A. Lubotzky





pdf

132

Isoperimetric inequalities for Ramanujan complexes and topological expanders

T. Kaufman, D. Kazhdan and A. Lubotzky


preprint



pdf

131

Invariable generation of infinite groups

W.M. Kantor, A. Lubotzky and A. Shalev


Journal of Algebra, to appear



pdf

130

The Masorah as error correcting code

Y. Ofer and A. Lubotzky


Tarbitz Vol. LXXXII (2013) 89–114 (Hebrew)



pdf

129

Random methods in 3manifold theory

A. Lubotzky, J. Maher and C. Wu





pdf

128

Expansion of BuildingLike Complexes

A. Lubotzky, R. Meshulam and S. Mozes





pdf

127

Isoparametric inequalities for Ramanujan complexes and topological overlapping

T. Kaufman, D. Kazhdan and A. Lubotzky


FOCS 2014, Proceedings of Foundation of Computer Science, to appear




126

Quantum error correcting codes and 4dimensional arithmetic hyperbolic manifolds

L. Guth and A. Lubotzky


Journal of Mathematical Physics, 55,082202(2014)



pdf

125

Random Latin squares and 2dimensional expanders

A. Lubotzky and R. Meshulam





pdf

124

High dimensional expanders and property testing

T. Kaufman and A. Lubotzky


ITCS 2014 Proceedings of the 5th conference on Innovatinos in theoretical computer science, pp. 501506, ACM New York



pdf

123

Arithmetic quotients of the mapping class group

F. Grunewald, M. Larsen, A. Lubotzky and J. Malestein


Geometric and Functional Analysis (GAFA), to appear



pdf

122

Finiteness Properties and Profinite Completions

A. Lubotzky


Bull. London Math. Soc. 46 (2014), 103–110



pdf

121

Images of word maps in finite simple groups

A. Lubotzky


Glasgow Math. J. 56 (2014), no. 2, 465–469



pdf

120

Ramanujan complexes and High Dimensional Expanders

A. Lubotzky


Japanese Journal of Mathematics, to appear



pdf

119

Deformation theory and finite simple quotients of triangle groups II

M. Larsen, A. Lubotzky and C. Marion


Groups, Geometry and Dynamics (GGD), to appear



pdf

118

Deformation theory and finite simple quotients of triangle groups I

M. Larsen, A. Lubotzky and C. Marion


European J. Math. (JEMS) 16 (2014), 1349–1375



pdf

117

The Galois group of random elements of linear groups

A. Lubotzky and L. Rosenzweig


American J. of Math., to appear



pdf

116

Representation varieties of Fuchsian groups

M. Larsen, A.
Lubotzky

2013

From Fourier analysis and number theory to radon transforms and geometry, 375–397, Dev. Math., 28, Springer, New York, 2013



pdf

115

Edge transitive Ramanujan graphs and symmetric LDPC good codes

T. Kaufman and A. Lubotzky

2012

STOC’12—Proceedings of the 2012 ACM Symposium on Theory of Computing, 359–365, ACM, New York, 2012



pdf

114

Manifolds counting and class field towers

M. Beliolipetsky, A.
Lubotzky

2012

Advances in Mathematics 229 (2012) 31233146



pdf

113

Sieve methods in group theory III: Aut(Fn)

A. Lubotzky and C. Meiri

2012

Internat. J. of Algebra Comput. 22 (2012) 1250062, 8pp



pdf

112

Sieve methods in group theory II: the mapping class group

A. Lubotzky and C. Meiri

2012

Geom. Dedicata 159 (2012), 327–336



pdf

111

Expander graphs in pure and applied mathematics

A. Lubotzky

2012

Bull. AMS (N.S.) 49 (2012), 113–162



pdf

110

Sieve method in group theory I. Powers in linear groups

A. Lubotzky and C. Meiri

2012

J. Amer. Math. Soc. 25 (2012), 1119–1148



pdf

109

Conjugacy growth of linear groups

E. Breuillard, Y. de Cornulier, A. Lubotzky and C. Meiri

2013

Math. Proc. Comb. Phil. Soc. (2013), 261–277



pdf

108

Beauville surfaces and
finite simple groups

S. Garion, M. Larsen
and A. Lubotzky

2012

J. Reine Angew. Math. (Crelle’s Journal) 666 (2012), 225–243



pdf

107

Invariable generation and the Chebotarev invariant of
a finite group

W. M. Kantor, A. Lubotzky and A. Shalev

2011

Journal of Algebra 348 (2011), 302314



pdf

106

Lattices with and lattices
without spectral gap

B. Bekka and
A. Lubotzky

2011

Groups, Geometry and Dynamics 5 (2011), 251264



pdf

105

Remarks on Proeficient groups

R. M. Guralnick,W. M. Kantor,
M. Kassabov and A. Lubotzky

2011

Journal of Algebra, 326 (2011), 169189



pdf

104

Finite simple groups of Lie type
as expanders

A. Lubotzky

2011

J. of the European Math. Soc., 13 (2011), 13311341



pdf

103

The dynamic of Aut(Fn)actions on
group presentations and representation

A. Lubotzky

2011

in a
special volume dedicated to R.J. Zimmer



pdf

102

Presentation of finite
simple groups: a computational approach

R.M. Guralnick, W.M.
Kantor, M. Kassabov, A. Lubotzky

2011

J. of the European Math. Soc. (JEMS), 13 (2011), 391458

dvi

ps

pdf

101

Linear representations of the
automorphism groups of free groups

F. Grunewald , A. Lubotzky

2009

Geometric and Functional Analysis
(GAFA),18 (2009), 15641608

dvi

ps

pdf

100

Counting arithmetic lattices and surfaces,
Annals of Mathematics

M. Belolipetsky, T. Gelander,
A. Lubotzky and A. Shalev

2010

Annals of Mathematics 172 (2010), 21972221



pdf

99

Representation growth for
linear groups

M. Larsen, A. Lubotzky

2008

J. of the European Math. Soc.
10 (2008), 351–390

dvi

ps

pdf

98

Heegard genus and property
tau for hyperbolic 3manifolds

D. D. Long, A. W. Reid, A.
Lubotzky

2008

J. Topol. 1 (2008), no. 1,
152158

dvi

ps

pdf

97

Elementary equivalence of
profinite groups

M. Jarden, A. Lubotzky

2008

Bull. London Math. Soc.
40 (2008), 887–896



pdf

96

Dimension expanders

E. Zelmanov, A. Lubotzky

2006

J. Algebra 319 (2008), no.
2,
730738

dvi

ps

pdf

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

dvi

ps

pdf

94

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, 469523.

dvi

ps

pdf

93

A Moore bound for simplicial complexes

A. Lubotzky, R. Meshulam

2006

Bull. Lond. Math. Soc. 39
(2007), no. 3, 353358



pdf

92

Finite simple groups as
expanders

M. Kassabov, A. Lubotzky,
N. Nikolov

2006

PNAS. 103, 61166119

dvi

ps

pdf

91

On Presentations and
Second Cohomology of Some Finite Groups

I. Korchagina, A. Lubotzky

2006

Publ. Math. Debrecen 69
(2006), no. 3, 341352

dvi


pdf

90

Isospectral Cayley graphs
of some finite simple groups

A. Lubotzky, B. Samuels,
U. Vishne

2006

Duke Math j.135 (2006),
no.2, 381393

dvi

ps

pdf

89

Division algebras and noncommensurable isospectral
manifolds

A. Lubotzky, B. Samuels,
U. Vishne

2006

Duke Math j.135 (2006),
no.2, 361379

dvi

ps

pdf

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, 241256

dvi

ps

pdf

87

Finite groups and
hyperbolic manifolds

M. Belolipetsky, A.
Lubotzky

2005

Invent. Math.162, 459472

dvi

ps

pdf

86

Some more superrigid
groups, in:"Geometry, Graphs and Dynamics: Proceedings in Memory of
Robert Brooks"

A. Lubotzky

2005

Israel Mathematical
Conference Proceeding, Contemporary Mathematics, AMS 387, 273244


ps

pdf

85

Counting primes, groups
and manifolds

D. Goldfeld, A. Lubotzky,
N. Nikolov, L. Pyber

2004

Proc. of National Acad. of
Sci. USA, 101, 1342813430

dvi


pdf

84

Subgroup growth of lattices
in semisimple groups

A. Lubotzky, N. Nikolov

2004

Acta. Math. 193, 105139


ps

pdf

83

Explicit construction of
Ramanujan complexes of type Ad

A. Lubotzky, B. Samuels, V
Vishne

2005

Europ. J. of Combinatorics.
26, 965993

dvi

ps

pdf

82

Ramanujan complexes of
type Ad

A. Lubotzky, B. Samuels,
V. Vishne

2005

Israel J. Math. 149,
267299

dvi

ps

pdf

81

The Finitary AndrewCurtis
Conjecture, in: Infinite Groups: geometric, combinatorial and dinamical
aspects

A. Borovik, A. Lubotzky,
A. Myasmikov

2005

Progress in Math. 248,
1530

dvi

ps

pdf

80

Polynomial representation
growth and the congruence subgroup problem

A. Lubotzky, B. Martin

2004

Israel J. of Math. 144,
293316

dvi

ps

pdf

79

Finite representations in the
unitary dual and ramanujan groups

A. Lubotzky, Y. Shalom

2004

AMS Contemporary Math.
347, 173189


ps

pdf

78

Counting congruence
subgroups

D. Goldfeld, A. Lubotzky,
L. Pyber

2004

Acta Math. 193, 73104


ps

pdf

77

The expected number of random elements to
generate a finite group

A. Lubotzky

2002

J. of Algebra 257 452459

dvi

ps

pdf

76

Bounded generation and
linear groups

M. Abert, A Lubotzky

2003

Internat. J. Algebra
Comput. 13, no. 4, 401413

dvi

ps

pdf

75

Counting hyperbolic
manifolds

M. Burger, T Gelander, A
Lubotzky, S Mozes

2002

Geometric and Functional
Analysis 12 11611173



pdf

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.
441468, TIFR, Mumbai

dvi

ps

pdf

73

Semidirect product in
groups and zigzag product in graphs

N. Alon, A. Lubotzky, A
Wigderson

2001

Proc. 42 IEEE FOCS 630637



pdf

72

The proalgebraic
completion of rigid groups

H. Bass, A Lubotzky, A
Magid, S. Moses

2002

Geom. Dedicata 95 1958


ps

pdf

71

Profinite presentations

A Lubotzky

2001

J. of Algebra 242 672690




70

Product replacement
algorithm and Kazhdan property

A Lubotzky, I. Pak

2001

J. American Math. Soc. 14
347363




69

Enumerating boundedly
generated finite groups

A. Lubotzky

2001

J. of Algebra 238 194199




68

Rank one phenomena for
mapping class groups

A. Lubotzky, Y. Minsky, B.
Farb

2001

Duke J. of Math. 106
581597




67

A charachterization of
Sarithmetic groups in higher rank semisimple groups

A. Lubotzky, T.N. Venkataramana

2002

Geom. Dedicata 90 128




66

Arithmetic Structure of
fundemental groups and actions of semisimple Lie groups

A. Lubotzky, R.J. Zimmer

2001

Topology 40 851869




65

The word and Riemannian
metrics on lattices of semisimple groups

A Lubotzky, S. Mozes, M.S.
Raghunathan

2000

Publ. Math. IHES 91 553




64

Non Arithmetic, Super
rigid groups: Conterexamples to Platonov's conjecture

H. Bass, A Lubotzky

2000

Ann. of Math 151 11511173




63

Random normal subgroups of
free pro finite groups

M. Jarden, A Lubotzky

1999

J. of Group Theory 2 213224




62

Lattices of minimal
covolume in SL2 over non archimeadean fields

A. Lubotzky, T Weigel

1999

Proc. London Math Soc. 78
283333




61

One for allmost all:
Generation of SL(n,p) by subsets of SL(n,Z)

A Lubotzky

1999

Contemporary Math. 243
125128 AMS Providence RI




60

Not every uniform tree
covers Ramanujan graphs

A. Lubotzky, T. Nagnibeda

1998

J. Comb. Th. B 74 202212




59

Eigenvalues of the Laplacian,
The first Betti number and the congruence subgroup problem

A. Lubotzky

1997

Ann. of Math. 145 441452




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




57

Free quotients and the
first Betti number of some hyperbolic manifolds

A. Lubotzky

1996

Transformation Groups
17182

dvi

ps

pdf

56

Discrete groups of
subgroup growth

A. Lubotzky, L. Pyber, A.
Shalev

1996

Israel J. of Math. 96
399418




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
3990




54

Powers in finitely
generated groups

E. Hrushovsky, P.H. Kropholer,
A. Lubotzky, A. Shalev

1996

Trans of the AMS 348
291304




53

Counting finite index
subgroups

A. Lubotzky

1995

lecture notes LMS 212
368404 Cambridge Univ.


ps

pdf

52

Tree lattices and lattices
in Lie groups

A. Lubotzky

1995

lecture notes LMS 204
217232 Cambridge Univ.




51

Cayley graphs:
eigenvalues, expanders and random walks

A. Lubotzky

1995

lecture notes LMS 218
155189 Cambridge Univ.




50

Subgroup growth

A Lubotzky

1995

Proc. of Int. Congress of
Math. 1 309317 Birkhauzer




49

Subgroup growth and
congruence subgroups

A. Lubotzky

1995

Invent. Math. 119 267295




48

Linear central filtrations
on groups

H. Bass, A. Lubotzky

1994

Contemporary Math. 169 AMS




47

Super rigidity for the
commensurabilitygroup of tree lattices

A. Lubotzky, S. Moses,
R.J. Zimmer

1994

Comment. Math. Helv. 69
523548




46

Rigidity of groups actions
on locally finite trees

H. Bass, A. Lubotzky

1994

Proc. Lond. Math. Soc. 69
541575




45

On some analytic prop
groups

A. Lubotzky, A. Shalev

1994

Israel J. of Math. 85
307337




44

Cyclic subgroups of
exponential growth and metrics on descerete groups

A. Lubotzky, S. Mozes,
M.S. Raghunathan

1993

Adad. Sci. 317 735740



pdf

43

Groups of expandness  in:
"Expanding Graphs"

A. Lubotzky, B. Weiss

1993

DIMACS, series in descrete
math. and theory of cs.


ps

pdf

42

Finitely generated groupsof
polynomial subgroup growth

A. Lubotzky, A. Mann, D.
Segal

1993

Israel J. of Math. 82
363371




41

Torsion in profinite
completion of torsion free groups

A. Lubotzky

1993

Oxford Quar. J. of Math.
44 327332



pdf

40

Random elements of free
profinite group generate a free subgroup

A. Lubotzky

1993

Illinois J. of Math 37
7884




39

Asymptotic properties of
unitary representations of tree automorphysm

A. Lubotzky, S. Mozes

1992

Plenum Press, New York




38

Hilbertian fields and free
profinite groups

A. Jarden, A. Lubotzky

1992

J. of the London Math.
Soc.46 205227




37

Lattices in rank one Lie
groups over local fields

A. Lubotzky

1991

Geometric & Functional
Anlysis 1 405431




36

Groups of polynomyal
subgroup growth

A. Lubotzky, A. Mann

1991

Inventiones Math. 104
521533




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)




34

Lattices of minimal
covolume in SL2 A non archemedean analogue of Siegel's theorem

A. Lubotzky

1990

J. of American Math. Soc.
3 961975




33

The probability of
generating a finite simple group

W.M. Kantor, A. Lubotzky

1990

Geom. Dedicata 36 6787




32

Locally symmetric graphs
of prescribed girth and coxeter groups

A. Lubotzky

1990

J. of Discrete Math. 3 177180




31

Residually finite groups
of finite rank

A. Lubotzky, A. Mann

1989

math. proc. of Cambridge
Phil. Soc. 106 385388




30

Variants of Kazhdan's
property for discrete subgroups of semisimple groups

A. Lubotzky, R.J. Zimmer

1989

Israel J. of Math. 66
289299




29

Trees and discrete
subgroups of Lie groups over local fields

A. Lubotzky

1989

Bull. Amer. Math. Soc. 20
2730




28

Small diameter Cayley
graphs for finite simple groups

L. Babai, W.M. Kantor, A
Lubotzky

1989

Europ. J. of Combinatorics
10 507522




27

Group theoretic
characterization of linear groups

A. Lubotzky

1988

J. of Algebra 113207214




26

Ramanujan graphs

A. Lubotzky, R. Phillips,
P. Sarnak

1988

Combinatorica 8 261277


ps

pdf

25

Local structure of
representation varieties

A. Lubotzky, A Magid

1987

proc. of "Geometry of
Group Representation" Contemp. Math. 74 215235 AMS




24

On finite index subgroups
of linear groups.

A. Lubotzky

1987

Bull. London Math. Soc. 19
325328




23

Hecke operators and
distributing points on S2. II

A. Lubotzky, R. Phillips,
R. Sarnak

1987

Communications on Pure and
Applied Math.40 401420



pdf

22

Powerfull pgroups II.
padic analytic groups

A. Lubotzky, A. Mann

1987

J. of Algebra 105 506515




21

Powerfull pgroups I.
Finite groups

A. Lubotzky, A. Mann

1987

J. of Algebra 105 485505




20

Dimension function for
discrete groups

A. Lubotzky

1986

GroupsSt. Andrews 1985 254262
Cambridge univ. press




19

Hecke operators and
distributing points on the sphere I

A. Lubotzky, R. Phillips,
R. Sarnak

1986

Communications on Pure and
Applied Math. 39 149186




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 240246




17

On problem of magnus,

A. Lubotzky

1986

proc. of the AMS 98
583585




16

Maximal abelian subgroups
of free profinite groups

D. Haran, A. Lubotzky

1985

proc. Cambridge Phil. Soc.
97 5155




15

Cohomology, poincare
series and group algebras of unipotent groups

A. Lubotzky, A. Magid

1985

Amer. J. of Math. 107
531553




14

An embedding theorem for
profinite groups

A. Lubotzky, J. Wilson

1984

Archiv der Mathematik 42
397399




13

Abelian and solvable
subgroups of the mapping class groups

J. Birman, A. Lubotzky, J.
McCarthy

1983

Duke J. of Math. 50
11071120




12

Group presentations,
padic analytic groups and lattices in SL (2,C)

A. Lubotzky

1983

Ann. of Math. 118 115130




11

Automorphism of schemes
and of subgroups of finite type

H. Bass, A. Lubotzky

1983

Israel J. of Math. 44 122




10

Free prounipotent groups

A. Lubotzky, A. Magid

1983

J. of Algebra 80 323349




9

Unipotent and prounipotent
groups; cohomology and presentations

A. Lubotzky, A. Magid

1982

Bulletin of AMS 7 251254




8

Combinatorial group theory
of prop groups

A. Lubotzky

1982

Journal of Pure and
Applied Math. 25 311325




7

Embedding covers and the
theory of frobenius fields

D. Haran, A. Lubotzky

1982

Israel J. of Math. 41
181202




6

Free quotients and the
congruence kernel of SL (2)

A. Lubotzky

1982

J. of Algebra 77 411418




5

Cohomology of unipotent
and prounipotent groups

A. Lubotzky, A. Magid

1982

J.l of Algebra 74 7695




4

Subgroups of free
profinite groups and large subfields of Q

A. Lubotzky, L. Van den dreis

1981

Israel J. of Math. 39
2545




3

Tannaka duality for
discrete groups

A. Lubotzky

1980

Amer. J. of Math. 102
663689




2

Normal automorphism of
free groups

A. Lubotzky

1980

J. of Algebra




1

On a problem of
Grothendiek

A. Lubotzky

1978

Proc. Algebraic Geometry
meeting, Lecture notes in math. 732 374383



