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On five well-known commutator identities

Part of: Algebraic structures Foundations

Published online by Cambridge University Press:  09 April 2009

Graham J. Ellis
Graham J. Ellis
Affiliation:
University College Galway National University of Ireland Galway, Ireland
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Abstract

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We conjecture that five well-known identities universally satisfied by commutators in a group generate all such universal commutator identies. We use homological techniques to partially prove the conjecture.

MSC classification

Secondary: 20A05: Axiomatics and elementary properties 08A99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 1 , February 1993 , pp. 1 - 19
Copyright
Copyright © Australian Mathematical Society 1993

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