Browsing MAT_Articles by Keyword "Group action on groups"
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A coprime action version of a solubility criterion of Deskins
Springer Verlag (2019)Let A and G be finite groups of relatively prime orders and suppose that A acts on G via automorphisms. We demonstrate that if G has a maximal A-invariant subgroup M that is nilpotent and the Sylow 2-subgroup of M has ... -
Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility
Cambridge University Press (2018)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, CG(A), may imply the ... -
Corrigendum to: “A coprime action version of a solubility criterion of Deskins”
Springer Verlag (2020-01-14)In this Corrigendum we correct a missed case in the statement of Theorem 2.4 and a subsequent mistake in the proof of the main result in “A coprime action version of a solubility criterion of Deskins”, Monatsh. Math. ...