• openAccess   Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility 

      Beltrán, Antonio; shao, Changguo 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 ...
    • openAccess   Invariant Sylow subgroups and solvability of finite groups 

      Beltrán, Antonio 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 ...