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• W2912393432 abstract "The first main result of this paper is that a finite transitive nonabelian characteristically simple subgroup of a wreath product in product action must lie in the base group of the wreath product. This allows us to characterize nonabelian transitive characteristically simple subgroups $H$ of finite quasiprimitive permutation groups $G$. If the socle of $G$, denoted by $mbox{soc}(G)$, is nonabelian, then $H$ lies in $mbox{soc}(G)$. An explicit description is given for the possibilities of $H$ under the condition that $H$ does not contain a nontrivial normal subgroup of $mbox{soc}(G)$." @default.
• W2912393432 created "2019-02-21" @default.
• W2912393432 creator A5039519844 @default.
• W2912393432 creator A5068594805 @default.
• W2912393432 date "2019-01-22" @default.
• W2912393432 modified "2023-09-27" @default.
• W2912393432 title "Transitive characteristically simple subgroups of finite quasiprimitive permutation groups" @default.
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• W2912393432 hasPublicationYear "2019" @default.
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