Article contents
Modular Lie representations of finite groups
Published online by Cambridge University Press: 09 April 2009
Abstract
Let K be a field of prime characteristic p and let G be a finite group with a Sylow p-subgroup of order p. For any finite-dimensional K G-module V and any positive integer n, let Ln (V) denote the nth homogeneous component of the free Lie K-algebra generated by (a basis of) V. Then Ln(V) can be considered as a K G-module, called the nth Lie power of V. The main result of the paper is a formula which describes the module structure of Ln(V) up to isomorphism.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 77 , Issue 3 , December 2004 , pp. 401 - 424
- Copyright
- Copyright © Australian Mathematical Society 2004
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