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Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility
Published online by Cambridge University Press: 25 September 2018
Abstract
Let A and G be finite groups and suppose that A acts via automorphisms on G with $(|A|, |G|)=1$. We study how certain conditions on the Sylow 2-subgroups of the fixed point subgroup of the action $C_G(A)$ may imply the non-simplicity or solubility of G.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 1 , February 2019 , pp. 211 - 220
- Copyright
- Copyright © Edinburgh Mathematical Society 2018