Some twisted variants of Chevalley groups
Steinbach, Anja
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, p. 491-503 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2005-12-14
Classification:  Chevalley group,  Steinberg variation,  BN-pair,  root system,  20E42,  20G15 
@article{1133793337,
     author = {Steinbach, Anja},
     title = {Some twisted variants of Chevalley groups},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {5},
     year = {2005},
     pages = { 491-503},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1133793337}
}

Steinbach, Anja. Some twisted variants of Chevalley groups. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, pp.  491-503. http://gdmltest.u-ga.fr/item/1133793337/