Modular representations and almost free actions

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Let k be a field of characteristic p > 0, and let G be a finite group whose order is divisible by p. We examine kG-modules V of large dimension with the property that the spaces of fixed points of non-trivial elements of G all have small dimension. It is shown that the existence of such a module imposes severe restrictions on the structure of G. 1991 Mathematics Subject Classification: 20D99, 20C20.

Original languageAmerican English
Pages (from-to)559-574
Number of pages16
JournalForum Mathematicum
Issue number7
StatePublished - 1995


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