Splitting of normalizers of maximal tori in finite groups of Lie type Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2023, Volume: 62, Number: 1, Pages: 22-40 Pages count : 19 DOI: 10.1007/s10469-023-09721-2 | ||||
| Tags | finite group of Lie type, twisted group of Lie type, Weyl group, maximal torus, algebraic normalizer | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
Let G be a finite group of Lie type, and T some maximal torus of the group G. We bring to a close the study of the question of whether there exists a complement for a torus T in its algebraic normalizer N (G, T). It is proved that any maximal torus of a group G ∈ {G2(q), 2G2(q), 3D4(q)} has a complement in its algebraic normalizer. Also we consider the remaining twisted classical groups 2An(q) and 2Dn(q).
Cite:
Galt A.A.
, Staroletov A.M.
Splitting of normalizers of maximal tori in finite groups of Lie type
Algebra and Logic. 2023. V.62. N1. P.22-40. DOI: 10.1007/s10469-023-09721-2 WOS Scopus РИНЦ OpenAlex
Splitting of normalizers of maximal tori in finite groups of Lie type
Algebra and Logic. 2023. V.62. N1. P.22-40. DOI: 10.1007/s10469-023-09721-2 WOS Scopus РИНЦ OpenAlex
Original:
Гальт А.А.
, Старолетов А.М.
О расщепляемости нормализаторов максимальных торов в конечных группах лиева типа
Алгебра и логика. 2023. Т.62. №1. С.33-58. DOI: 10.33048/alglog.2023.62.102 РИНЦ
О расщепляемости нормализаторов максимальных торов в конечных группах лиева типа
Алгебра и логика. 2023. Т.62. №1. С.33-58. DOI: 10.33048/alglog.2023.62.102 РИНЦ
Dates:
| Submitted: | Jan 16, 2023 |
| Accepted: | Oct 30, 2023 |
| Published print: | Jan 5, 2024 |
| Published online: | Jan 5, 2024 |
Identifiers:
| Web of science: | WOS:001139076400002 |
| Scopus: | 2-s2.0-85181461759 |
| Elibrary: | 65548039 |
| OpenAlex: | W4390611057 |