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Paper
Title

On some generalization of the malnormal subgroups

Year: 1399
COI: JR_THEGR-9-1_003
Language: EnglishView: 28
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Authors

Leonid Kurdachenko - National University of Dnipro
Nikolai Semko - University of State Fiscal Service of Ukraine
Igor Subbotin - Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, USA

Abstract:

‎‎A subgroup $H$ of a group $G$ is called malonormal in $G$ if $H \cap H^x =\langle ۱\rangle$ for every element $x \notin N_G(H)$‎. ‎These subgroups are generalizations of malnormal subgroups‎. ‎Every malnormal subgroup is malonormal‎, ‎and every selfnormalizing malonormal subgroup is malnormal‎. ‎Furthermore‎, ‎every normal subgroup is malonormal‎. ‎In this paper we obtain a description of finite and certain infinite groups‎, ‎whose subgroups are malonormal‎.

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Paper COI Code

This Paper COI Code is JR_THEGR-9-1_003. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1194937/

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Kurdachenko, Leonid and Semko, Nikolai and Subbotin, Igor,1399,On some generalization of the malnormal subgroups,https://civilica.com/doc/1194937

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