Geodesic
Linear Groups Generated by Reflection Tori
Canadian journal of mathematics, Tome 51 (1999) no. 6, pp. 1149-1174

Voir la notice de l'article provenant de la source Cambridge University Press

A reflection is an invertible linear transformation of a vector space fixing a given hyperplane, its axis, vectorwise and a given complement to this hyperplane, its center, setwise. A reflection torus is a one-dimensional group generated by all reflections with fixed axis and center.In this paper we classify subgroups of general linear groups (in arbitrary dimension and defined over arbitrary fields) generated by reflection tori.
DOI : 10.4153/CJM-1999-051-7
Mots-clés : 20Hxx, 20Gxx, 51A50 
Cohen, A. M.; Cuypers, H.; Sterk, H. Linear Groups Generated by Reflection Tori. Canadian journal of mathematics, Tome 51 (1999) no. 6, pp. 1149-1174. doi: 10.4153/CJM-1999-051-7
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