Modular lie representations of finite groups

R. M. Bryant

    Research output: Contribution to journalArticlepeer-review

    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 L n(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.
    Original languageEnglish
    Pages (from-to)401-423
    Number of pages22
    JournalAustralian Mathematical Society. Journal
    Volume77
    Issue number3
    DOIs
    Publication statusPublished - Dec 2004

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