Open Access
December 2005 Some twisted variants of Chevalley groups
Anja Steinbach
Bull. Belg. Math. Soc. Simon Stevin 12(4): 491-503 (December 2005). DOI: 10.36045/bbms/1133793337

Abstract

We construct a BN-pair for subgroups of Chevalley groups, which are fixed under some distinguished automorphisms. This generalizes the standard approach for the twisted groups of type $^2A_\ell$, $^2D_\ell$ and $^2E_6$ to groups which are not necessarily quasi-split.

Citation

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Anja Steinbach. "Some twisted variants of Chevalley groups." Bull. Belg. Math. Soc. Simon Stevin 12 (4) 491 - 503, December 2005. https://doi.org/10.36045/bbms/1133793337

Information

Published: December 2005
First available in Project Euclid: 5 December 2005

zbMATH: 1137.20042
MathSciNet: MR2205993
Digital Object Identifier: 10.36045/bbms/1133793337

Subjects:
Primary: 20E42 , 20G15

Keywords: BN-pair , Chevalley group , root system , Steinberg variation

Rights: Copyright © 2005 The Belgian Mathematical Society

Vol.12 • No. 4 • December 2005
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