Linear Groups Generated by Reflection Tori

Author:

Cohen A. M.,Cuypers H.,Sterk H.

Abstract

AbstractA 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Extraction of Small Rank Unipotent Elements in GL(4, K);Journal of Mathematical Sciences;2022-06

2. Long root tori in Chevalley groups;St. Petersburg Mathematical Journal;2013-03-21

3. Geometry of 1-tori in $\mathrm {GL}_n$;St. Petersburg Mathematical Journal;2008-03-21

4. Subgroups of SLn over a semilocal ring;Journal of Mathematical Sciences;2007-12

5. Local Recognition Of Non-Incident Point-Hyperplane Graphs;Combinatorica;2005-05

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