Groups with no proper contranormal subgroups

Pub Date : 2020-01-01 DOI:10.5565/publmat6412008
B. Wehrfritz
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引用次数: 1

Abstract

We consider which groups G are nilpotent if they have a nilpotent normal subgroup N with G/N a restricted soluble group and if G is the only contranormal subgroup of G. This supplements Kurdachenko, Otal, and Subbotin work of 2009, where they consider the corresponding question but with G/N nilpotent and N a restricted soluble normal subgroup.
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没有适当逆正规子群的群
我们考虑了哪些群G是幂零的,如果它们有一个幂零正规子群N且G/N为限制可解群,如果G是G的唯一异正规子群。这补充了Kurdachenko, Otal, and Subbotin在2009的工作中考虑了相应的问题,但G/N为幂零,N为限制可解正规子群。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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