A note on \(c\)-normal subgroups of finite groups

Alexander N. Skiba

Abstract


Let \(G\) be a finite group. We fix in  every non-cyclic Sylow subgroup  \(P\) of \(G\) some its subgroup \(D\) satisfying \(1<|D|<|P|\)  and study the structure of \(G\) under assumption that all subgroups \(H\)  of  \(P\)  with  \(|H|=|D|\)  are  \(c\)-normal in \(G\).


Keywords


finite group, supersoluble group, \(c\)-normal subgroup, maximal subgroup, Sylow subgroup

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