On the s-θ-completions of maximal subgroups and the π-solvability of a finite group
Hong Zhang
Abstract
Hong Zhang
Abstract
Define some sets for maximal subgroups, and by investigating the influence of s-θ-completions of maximal subgroups on the structure of finite groups, some new characterizations of the π-solvability of a finite group are obtained.
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Define some sets for maximal subgroups, and by investigating the influence of s-θ-completions of maximal subgroups on the structure of finite groups, some new characterizations of the π-solvability of a finite group are obtained.
Key concepts: Mathematics, Maximal subgroup, Locally finite group, Group (periodic table), Finite group, Combinatorics, Pure mathematics, Discrete mathematics