Finite normal subgroups of strongly verbally closed groups

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Abstract: In a recent paper by A. A. Klyachko, V. Y. Miroshnichenko, and A. Y. Olshanskii, it is proven that the center of any finite strongly verbally closed group is a direct factor. In this paper, we extend this result to the case of finite normal subgroups of any strongly verbally closed group. It follows that finitely generated nilpotent groups with nonabelian torsion subgroups are not strongly verbally closed.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Finite normal subgroups of strongly verbally closed groups ; volume:27 ; number:5 ; year:2024 ; pages:1039-1057 ; extent:19
Journal of group theory ; 27, Heft 5 (2024), 1039-1057 (gesamt 19)

Creator: Denissov, Filipp D.

DOI: 10.1515/jgth-2023-0015

URN: urn:nbn:de:101:1-2409031556044.871162020065

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:25 AM CEST

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Denissov, Filipp D.

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Finite normal subgroups of strongly verbally closed groups

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Other Objects (12)

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Complementation of normal subgroups : in finite groups

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