J Austral Math Soc Ser A 49 pp386--398, 1990.

Lie Rings of Groups of Prime Exponent

M. R. Vaughan-Lee

(Received 17 July 1989; revised 1 December 1989)

Abstract

We investigate the identities which hold in the associated Lie rings of groups of prime exponent. The multilinear identities which hold in these Lie rings are known, and it is conjectured that all the identites which hold these Lie rings are consequences of mulltilinear ones. This is known to be the case for the associated Lie ring of two generator groups of exponent 5, and we provide some additional evidence for the conjecture by confirming that it also holds true for the associated Lie rings of three generator groups of exponent five.

1980 AMS Subject Classification (1985 Revision): 20D15, 17B60

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Authors

M. R. Vaughan-Lee: Christ Church, Oxford OX1 1DP, England.

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Last Modified: Wed Feb 19 10:27:52 2003