Description of direct products by sizes of conjugacy classes Full article
| Journal |
Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125 |
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| Output data | Year: 2025, Volume: 53, Number: 6, Pages: 2292-2298 Pages count : 7 DOI: 10.1080/00927872.2024.2436012 | ||||||
| Tags | finite groups, conjugacy class | ||||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
| 2 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
Let N(G) be the set of sizes of the conjugacy classes of nite group G, and let be a set of relatively prime integers. We prove that if N(G) = n 1n , then G A Pi where A is an abelian group, Pi is a Sylow pi-subgroup.
Cite:
Gorshkov I.B.
, Shao C.
, Mudziiri Shumba T.M.
Description of direct products by sizes of conjugacy classes
Communications in Algebra. 2025. V.53. N6. P.2292-2298. DOI: 10.1080/00927872.2024.2436012 WOS Scopus OpenAlex
Description of direct products by sizes of conjugacy classes
Communications in Algebra. 2025. V.53. N6. P.2292-2298. DOI: 10.1080/00927872.2024.2436012 WOS Scopus OpenAlex
Dates:
| Submitted: | Jan 10, 2023 |
| Accepted: | Nov 23, 2024 |
| Published online: | Dec 14, 2024 |
| Published print: | Mar 31, 2025 |
Identifiers:
| Web of science: | WOS:001377667700001 |
| Scopus: | 2-s2.0-85212081125 |
| OpenAlex: | W4405391497 |
Citing:
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