On $$\sigma $$-Solubility Criteria for Finite Groups
On $$\sigma $$-Solubility Criteria for Finite Groups
Abstract In this paper, the structure of finite groups in which maximal subgroups of some Sylow subgroups have a $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> -soluble or $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> -nilpotent supplement, where $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> is a partition of the set of all …