Structure of normalizers of maximal tori in Lie type groups

Galt Alexey Albertovich

0000-0002-0788-5871

Scopus Author ID: 23972609500

1. Sobolev Institute of Mathematics, Siberian Branch Russian Academy of Sciences, Novosibirsk, Russia

galt84@gmail.сom

The main goal of this work is to review results on the structure of normalizers of maximal tori in groups of Lie type. In particular, we present results on splitting of normalizers of maximal tori, and in the case of exceptional groups, results on the minimal orders of lifts of elements of the Weyl group in the corresponding normalizers

УДК 512.54

Keywords: finite group of Lie type, linear algebraic group, Weyl group, maximal torus, algebraic normalizer, splitting