2000•Journal of Guangxi UniversityRequires access
Some generalized theorems on the supersolvability of finite group
Zhao Xiao
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Abstract
Assume that G is a finite solvable group with a normal subgroup N such that G/N is supersolvable. If all minimal subgroups of F(N) are C normal in G and one of the following conditions is satisfied, then G is supersolvable:(1) all cyclic subgroups with order 4 of F(N) are C normal in G; (2) G is relevance free to D 2q .