Asymptotic Group Theory

[RG #79] Asymptotic Group Theory

February 15 - August 15, 2000

Organizers:

Avinoam Mann (The Hebrew University of Jerusalem)
Aner Shalev (The Hebrew University of Jerusalem)

This research group will explore the following topics:

Infinite groups:
- Branch groups and automata groups, their subgroups, representations, presentations, and subgroup growth
- Zeta functions of nilpotent groups
- Rigid groups
- Redidual properties of the modular group

Finite groups:
- Asymptotic aspects of finite simple groups, and probabilistic aspects in particular
- Generation, and random generation, of finite simple groups
- Algorithms for matrix groups

1999-2000 Research Groups

Members

Rostislav Grigorchuk

FELLOW

Moscow State University

Rostislav is a professor in the Department of Ordinary Differential Equations at the Steklov Institute of Mathematics, Moscow State University.

William Kantor

FELLOW

University of Oregon

William is a professor in the Department of Mathematics at the University of Oregon. His research interests are: applications of finite groups to computer science (group-theoretic algorithms); asymptotic group theory; combinatorics; coding theory and finite geometry.

Martin Liebeck

FELLOW

Imperial College, London

Martin is a professor in the Department of Mathematics at Imperial College, London.

Avinoam Mann

FELLOW

The Hebrew University of Jerusalem

Avinoam is a professor in the Department of Mathematics at The Hebrew University of Jerusalem.

Jan Saxl

FELLOW

University of Cambridge

Jan is a professor in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. His research interests are working in the theory of groups, finite, and algebraic and representation theory, with applications in combinatorics and number theory.