Minimal supplements of maximal tori in their normalizers for the groups

A. A. Galt; A. M. Staroletov

doi:10.1070/IM9083

Minimal supplements of maximal tori in their normalizers for the groups

Research output: Contribution to journal › Article › peer-review

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 .

Original language	English
Pages (from-to)	126-149
Number of pages	24
Journal	Izvestiya Mathematics
Volume	86
Issue number	1
DOIs	https://doi.org/10.1070/IM9083
Publication status	Published - 1 Feb 2022

Keywords

finite group of Lie type F-4
Weyl group
maximal torus
algebraic normalizer
minimal supplement

OECD FOS+WOS

1.01 MATHEMATICS

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10.1070/IM9083

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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 . ",

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N2 - 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 .

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KW - Weyl group

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KW - algebraic normalizer

KW - minimal supplement

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Minimal supplements of maximal tori in their normalizers for the groups

Abstract

Keywords

OECD FOS+WOS

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