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Linear Groups Generated by Reflection Tori
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1999
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