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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2017 Volume 81, Issue 2, Pages 35–52 (Mi im8400)

This article is cited in 6 papers

On the splitting of the normalizer of a maximal torus in the exceptional linear algebraic groups

A. A. Gal'tab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Mechanics and Mathematics Department

Abstract: We solve the question about the splitting of the normalizer of a maximal torus in the exceptional linear algebraic groups over the algebraic closures of finite fields of positive characteristic.

Keywords: exceptional linear algebraic group, maximal torus, normalizer of a maximal torus, Weyl group.

UDC: 512.54

MSC: 20G07, 20G25, 20G40

Received: 24.04.2015
Revised: 22.08.2016

DOI: 10.4213/im8400


 English version:
Izvestiya: Mathematics, 2017, 81:2, 269–285

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© Steklov Math. Inst. of RAS, 2025