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International Conference on Modern Algebra in conjunction with the 17th annual Shanks Lectures
May 21-24, 2002
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph Freese, Matthew Gould, Peter Jipsen, George McNulty, Miklos Maroti, Alexander Ol'shanskii, Steven Tschantz, Constantine Tsinakis, Matthew Valeriote

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Groups of finite Abelian width
by
Péter P. Pálfy
Eötvös University, Budapest, Hungary
Coauthors: Miklós Abért, László Pyber

We say that a group G has finite Abelian width, if G=A1A2... Ak with suitable Abelian subgroups A1, A2, ..., Ak. A remarkable result of M. Abért gives that the full symmetric group on any infinite set has finite Abelian width. We investigate this property for classical groups over local rings. In addition, for finite groups we give bounds on the number of factors needed to represent the group as a product of Abelian subgroups.

Date received: January 7, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caig-56.