Finite normal subgroups of strongly verbally closed groups
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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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)
- Urheber
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Denissov, Filipp D.
- DOI
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10.1515/jgth-2023-0015
- URN
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urn:nbn:de:101:1-2409031556044.871162020065
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:25 MESZ
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Beteiligte
- Denissov, Filipp D.
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