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Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups Full article

Journal Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876
Output data Year: 2023, Volume: 114, Number: 5-6, Pages: 914-919 Pages count : 6 DOI: 10.1134/s0001434623110263
Tags nilpotent group, metabelian group, partially commutative group, free group, embedding
Authors Roman’kov V.A. 1
Affiliations
1 Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Omsk, 644043, Russia

Funding (1)

1 Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». FWNF-2022-0003

Abstract: An algorithm is presented that determines the maximum rank of a free nilpotent metabelian or, respectively, nilpotent group isomorphically embeddable into a given partially commutative nilpotent group of the same degree of nilpotency. It is shown how these embeddings are realized
Cite: Roman’kov V.A.
Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups
Mathematical Notes. 2023. V.114. N5-6. P.914-919. DOI: 10.1134/s0001434623110263 WOS Scopus РИНЦ OpenAlex
Original: Романьков В.А.
Вложение свободных нильпотентных (метабелевых) групп в частично коммутативные нильпотентные (метабелевы) группы
Математические заметки. 2023. Т.114. №5. С.773-779. DOI: 10.4213/mzm13894 РИНЦ OpenAlex
Dates:
Submitted: Jan 17, 2023
Accepted: Apr 20, 2023
Published print: Dec 20, 2023
Published online: Mar 12, 2024
Identifiers:
Web of science: WOS:001183832900009
Scopus: 2-s2.0-85187688761
Elibrary: 5178512
OpenAlex: W4392750552
Citing:
DB Citing
OpenAlex 1
Scopus 1
Web of science 1
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