On the structure of some groups having finite contranormal subgroups

L. A. Kurdachenko, N. N. Semko

Abstract


Following J.S. Rose, a subgroup \(H\) of the group \(G\) is said to be contranormal in \(G\), if \(G=H^{G}\). In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal \(p\)-subgroup.

Keywords


contranormal subgroups, Abelian-by-nilpotent groups, hypercenter of a group, \(G\)-eccentric subgroups, rationally irreducible subgroups

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DOI: http://dx.doi.org/10.12958/adm1724

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