# Jerusalem Mathematics Colloquium

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Thursday, 29th November 2001, 4:00 pm

Mathematics Building, Lecture Hall 2

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Dr. Laci Pyber

(Renyi Institute of the Hungarian Academy of Sciences)

"How abelian is a group?"

** Abstract: **

What is the maximal size of an abelian subgroup of a group? What is the
index of the centre? Such questions originate from Jordan and Baer and
were later considered by Erdos and his co-workers. Recently many of these
questions have been answered in a satisfactory way.

In the last two decades another way of measuring "how abelian a group is"
has appeared. In particular it has been proved that every simple group
of Lie-type is the set-theoretic product of 10000 abelian subgroups.
The talk aims at giving a broad survey of these developments.

Coffee, Cookies at the faculty lounge at 3:30.

List of talks, 2001-02

List of talks, 2000-01

List of talks, 1998-99

List of talks, 1997-98