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Twenty First Victorian Algebra Conference with Workshop on Universal Algebraic Techniques in Semigroup Theory and Algebraic Logic
September 29 - October 1, 2003
La Trobe University
Melbourne, Victoria, Australia

Organizers
Marcel Jackson, Brian Davey

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Counting orbits in finite group algebras
by
Alain LeBel
RMIT University

Recent work with shift actions on cocycles suggest that most coboundaries have a maximal orbit. The ``proof'' comes from a link with finite group algebras, where the group action is merely left multiplication. This talk will explain the link, give some methods of counting orbits and describe some thoughts on proving that unfaithful orbits are rare.

Date received: September 15, 2003

Copyright © 2003 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 Mathematical Conference Abstracts. Document # cala-15.