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AAA60: Workshop on General Algebra (60. Arbeitstagung Allgemeine Algebra)
June 22-25, 2000
Dresden University of Technology
Dresden, Germany

Organizers
Reinhard Pöschel, Manfred Droste, Bernhard Ganter

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Varieties Generated by a Finite Group
by
George F. McNulty
University of South Carolina
Coauthors: Ju Wang (Chinese Academy of Sciences)

A variety V is said to be residually finitely axiomatizable provided the class of all subdirectly irreducible algebras belonging to V is a finitely axiomatizable elementary class. We prove that every variety generated by a finite group is residually finitely axiomatizable. This result promises to open a new pathway to the classical theorem of Oates and Powell according to which every finite group is finitely based.

Date received: March 15, 2000

Copyright © 2000 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 # caee-12.