On fixed-point-free elements
Published online by Cambridge University Press: 24 October 2008
Extract
In Theorem 1·2 of [3] the following extension of the classical theorem of Shult is proved.
Theorem. Let G be a p-solvable group and let V be a faithful KG-module, where char. Assume that G contains an element x of order pn acting fixed-pointfreely on V. If p is a Fermat prime suppose further that the Sylow 2-subgroups of G are abelian. If p = 2 assume that the Sylow q-subgroups of G for each Mersenne prime q less than 2n are abelian. Then
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 2 , March 1988 , pp. 207 - 211
- Copyright
- Copyright © Cambridge Philosophical Society 1988
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