Minimal supplements of maximal tori in their normalizers for the groups Full article
| Journal |
Izvestiya Mathematics
ISSN: 1064-5632 |
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| Output data | Year: 2022, Volume: 86, Number: 1, Pages: 126-149 Pages count : 24 DOI: 10.1070/IM9083 | ||||
| Tags | 20F55; 20G07; 20G40; algebraic normalizer; finite group of Lie type F4; maximal torus; minimal supplement; Weyl group | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 19-11-00039 |
Abstract:
Let be a finite group of Lie type and the Weyl group of . For every maximal torus of, we find the minimal order of a supplement of in its algebraic normalizer . In particular, we find all the maximal tori that have a complement in . Let correspond to an element of . We find the minimal orders of the lifts of the elements in .
Cite:
Galt A.A.
, Staroletov A.M.
Minimal supplements of maximal tori in their normalizers for the groups
Izvestiya Mathematics. 2022. V.86. N1. P.126-149. DOI: 10.1070/IM9083 WOS Scopus РИНЦ OpenAlex
Minimal supplements of maximal tori in their normalizers for the groups
Izvestiya Mathematics. 2022. V.86. N1. P.126-149. DOI: 10.1070/IM9083 WOS Scopus РИНЦ OpenAlex
Original:
Galt A.A.
, Staroletov A.M.
Минимальные добавления к максимальным торам в их нормализаторах для групп $F_4(q)$
Известия Российской академии наук. Серия математическая. 2022. Т.86. №1. С.134–159. DOI: 10.4213/im9083 РИНЦ OpenAlex
Минимальные добавления к максимальным торам в их нормализаторах для групп $F_4(q)$
Известия Российской академии наук. Серия математическая. 2022. Т.86. №1. С.134–159. DOI: 10.4213/im9083 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000772178700001 |
| Scopus: | 2-s2.0-85128175009 |
| Elibrary: | 48427734 |
| OpenAlex: | W3180459562 |