On finite groups isospectral to groups with abelian Sylow 2-subgroups Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2025, Volume: 22, Number: 1, Pages: 169-178 Pages count : 10 DOI: 10.33048/semi.2025.22.013 | ||
| Tags | simple group, recognition by spectrum, small Ree group, sporadic Janko group. | ||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
The spectrum of a nite group is the set of orders of its elements. We are concerned with nite groups having the same spectrum as a direct product of nonabelian simple groups with abelian Sylow 2-subgroups. For every positive integer k, we nd k nonabelian simple groups with abelian Sylow 2-subgroups such that their direct product is uniquely determined by its spectrum in the class of all nite groups. On the other hand, we prove that there are in nitely many nite groups having the same spectrum as the direct cube of the small Ree group 2G2(q), q > 3, or the direct fourth power of the sporadic group J1.
Cite:
Grechkoseeva M.A.
, Vasil'ev A.V.
On finite groups isospectral to groups with abelian Sylow 2-subgroups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N1. P.169-178. DOI: 10.33048/semi.2025.22.013
On finite groups isospectral to groups with abelian Sylow 2-subgroups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N1. P.169-178. DOI: 10.33048/semi.2025.22.013
Dates:
| Submitted: | Sep 25, 2024 |
| Published print: | Mar 19, 2025 |
| Published online: | Mar 19, 2025 |
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