J Austral Math Soc Ser A 54 pp1--19, 1993.

On Five Well-Known Commutator Identities

Graham J. Ellis

(Received 25 October 1990; revised 28 February 1991)

Abstract

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

1991 AMS Subject Classification: primary 20A05l secondary 08A99

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Authors

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

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Last Modified: Mon Feb 3 9:46:13 2003