Explicit inverse Shapiro isomorphism and its application Full article
| Journal |
Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125 |
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| Output data | Year: 2025, Volume: 53, Number: 4, Pages: 1393–1403 Pages count : 15 DOI: 10.1080/00927872.2024.2410863 | ||
| Tags | Automorphism group; cohomology; nonsplit extension | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
We find an explicit form of the inverse isomorphism from Shapiro’s lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.
Cite:
Zavarnitsine A.V.
Explicit inverse Shapiro isomorphism and its application
Communications in Algebra. 2025. V.53. N4. P.1393–1403. DOI: 10.1080/00927872.2024.2410863 WOS Scopus OpenAlex
Explicit inverse Shapiro isomorphism and its application
Communications in Algebra. 2025. V.53. N4. P.1393–1403. DOI: 10.1080/00927872.2024.2410863 WOS Scopus OpenAlex
Dates:
| Submitted: | Sep 7, 2023 |
| Accepted: | Sep 16, 2024 |
| Published online: | Oct 16, 2024 |
| Published print: | Feb 22, 2025 |
Identifiers:
| Web of science: | WOS:001332962800001 |
| Scopus: | 2-s2.0-85206812761 |
| OpenAlex: | W4403451468 |
Citing:
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