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2020 Groups with no proper contranormal subgroups
B. A. F. Wehrfritz
Publ. Mat. 64(1): 183-194 (2020). DOI: 10.5565/PUBLMAT6412008

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.

Citation

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B. A. F. Wehrfritz. "Groups with no proper contranormal subgroups." Publ. Mat. 64 (1) 183 - 194, 2020. https://doi.org/10.5565/PUBLMAT6412008

Information

Received: 8 March 2018; Revised: 25 April 2018; Published: 2020
First available in Project Euclid: 3 January 2020

zbMATH: 07173902
MathSciNet: MR4047562
Digital Object Identifier: 10.5565/PUBLMAT6412008

Subjects:
Primary: 20F16
Secondary: 20F18, 20F19

Rights: Copyright © 2020 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.64 • No. 1 • 2020
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