Browsing Departament: Matemàtiques by Keyword "Sylow subgroups"
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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 ... -
Invariant Sylow subgroups and solvability of finite groups
Springer Verlag (2016)Let A and G be finite groups of relatively prime orders and assume that A acts on G via automorphisms. We study how certain conditions on G imply its solvability when we assume the existence of a unique A-invariant Sylow ...