Non-abelian tensor product and circular orderability of groups Full article
| Journal |
Topology and its Applications
ISSN: 0166-8641 |
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| Output data | Year: 2024, Volume: 358, Article number : 109111, Pages count : 10 DOI: 10.1016/j.topol.2024.109111 | ||
| Tags | Non-abelian tensor product, Virtual knot groups, Circular orderability | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
For a group G we consider its tensor square G circle times G and exterior square G boolean AND G. We prove that for a circularly orderable group G, under some assumptions on H1(G) and H2(G), its exterior square and tensor square are left-orderable. This yields an obstruction for a circularly orderable group G to have torsion. We apply these results to study circular orderability of tabulated virtual knot groups. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data
Cite:
Ivanov M.
Non-abelian tensor product and circular orderability of groups
Topology and its Applications. 2024. V.358. 109111 :1-10. DOI: 10.1016/j.topol.2024.109111 WOS Scopus РИНЦ OpenAlex
Non-abelian tensor product and circular orderability of groups
Topology and its Applications. 2024. V.358. 109111 :1-10. DOI: 10.1016/j.topol.2024.109111 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Nov 25, 2023 |
| Accepted: | Oct 15, 2024 |
| Published online: | Oct 18, 2024 |
| Published print: | Dec 1, 2024 |
Identifiers:
| Web of science: | WOS:001348722700001 |
| Scopus: | 2-s2.0-85207716349 |
| Elibrary: | 79240479 |
| OpenAlex: | W4403539937 |
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