Random unipotent Sylow subgroups of groups of Lie type of bounded rank Full article
| Journal |
Journal of Pure and Applied Algebra
ISSN: 0022-4049 |
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| Output data | Year: 2025, Volume: 229, Number: 8, Article number : 108007, Pages count : 11 DOI: 10.1016/j.jpaa.2025.108007 | ||
| Tags | Sylow subgroup, Group of Lie type, Random subgroup | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
In 2001 Liebeck and Pyber showed that a finite simple group of Lie type is a product of 25 carefully chosen unipotent Sylow subgroups. Later, in a series of works it was shown that 4 unipotent Sylow subgroups suffice. We prove that if the rank of a f inite simple group of Lie type G is bounded, then G is a product of 11 random unipotent Sylow subgroups with probability tending to 1 as |G| tends to infinity. An application of the result to finite linear groups is given. The proofs do not depend on the classification of finite simple groups.
Cite:
Skresanov S.V.
Random unipotent Sylow subgroups of groups of Lie type of bounded rank
Journal of Pure and Applied Algebra. 2025. V.229. N8. 108007 :1-11. DOI: 10.1016/j.jpaa.2025.108007 WOS Scopus OpenAlex
Random unipotent Sylow subgroups of groups of Lie type of bounded rank
Journal of Pure and Applied Algebra. 2025. V.229. N8. 108007 :1-11. DOI: 10.1016/j.jpaa.2025.108007 WOS Scopus OpenAlex
Dates:
| Submitted: | Feb 20, 2025 |
| Accepted: | Apr 27, 2025 |
| Published online: | May 26, 2025 |
| Published print: | May 30, 2025 |
Identifiers:
| Web of science: | WOS:001506214900003 |
| Scopus: | 2-s2.0-105006553572 |
| OpenAlex: | W4410733617 |
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