J Austral Math Soc Ser A 56 pp145--168, 1994.

Metabelian Lie Powers of Group Representations

R. M. Bryant, R. Stohr and R. Zerck

(Received 14 November 1990)

Abstract

Any representation of a group G on a vector space v extends uniquely to a representation of G on the free metabelian Lie algebra on V. In this paper we study such representations and make some group-theoretic applications.

1991 AMS Subject Classification: 20C15, 20F40

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Authors

R. M. Bryant: University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester, M60 1QD, United Kingdom.
R. Stohr: University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester, M60 1QD, United Kingdom.
R. Zerck: Karl-Weierstrauss-Institut fur Mathematik, Mohrenstrasse 39, Postfach 1304, O-1086 Berlin, Germany.

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