On embeddings in the class of partially commutative nilpotent groups Full article
| Journal |
Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2024, Volume: 116, Number: S1-2, Pages: 258-264 Pages count : 7 DOI: 10.1134/S0001434624070204 | ||
| Tags | nilpotent group, partially commutative group, embedding | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
We present an algorithm determining the existence of an isomorphic embedding of one finitely generated partially commutative nilpotent group of class in another. It is shown how such embeddings can be constructed. We also describe an algorithm determining the existence of an embedding of a finitely generated partially commutative nilpotent group of arbitrary class with respect to a graph of nonzero radius in a free nilpotent group of class.
Cite:
Evtyagin A.L.
, Roman`kov V.A.
On embeddings in the class of partially commutative nilpotent groups
Mathematical Notes. 2024. V.116. NS1-2. P.258-264. DOI: 10.1134/S0001434624070204 WOS Scopus РИНЦ OpenAlex
On embeddings in the class of partially commutative nilpotent groups
Mathematical Notes. 2024. V.116. NS1-2. P.258-264. DOI: 10.1134/S0001434624070204 WOS Scopus РИНЦ OpenAlex
Original:
Евтягин А.Л.
, Романьков В.А.
О вложениях в классе частично коммутативных нильпотентных групп
Математические заметки. 2024. Т.116. №2. С.236-244. DOI: 10.4213/mzm14144 РИНЦ OpenAlex
О вложениях в классе частично коммутативных нильпотентных групп
Математические заметки. 2024. Т.116. №2. С.236-244. DOI: 10.4213/mzm14144 РИНЦ OpenAlex
Dates:
| Submitted: | Aug 20, 2023 |
| Accepted: | Oct 27, 2023 |
| Published print: | Oct 21, 2024 |
| Published online: | Oct 21, 2024 |
Identifiers:
| Web of science: | WOS:001343531800023 |
| Scopus: | 2-s2.0-85207167692 |
| Elibrary: | 73532447 |
| OpenAlex: | W4403598029 |
Citing:
Пока нет цитирований