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Finite Reflection Groups

Identifieur interne : 002334 ( Main/Exploration ); précédent : 002333; suivant : 002335

Finite Reflection Groups

Auteurs : Kenneth S. Brown [États-Unis]

Source :

RBID : ISTEX:55E395A34112AD2AEB2F87AA9F84B23A52E0AB7D

Abstract

Abstract: This book is about connections between groups and geometry. We begin by considering groups of isometries of Euclidean space generated by hyperplane reflections. In order to avoid technicalities in this introductory chapter, we confine our attention to finite groups and we require our reflections to be with respect to linear hyperplanes (i.e., hyperplanes passing through the origin). We will generalize this in Chapter VI, replacing “finite” by “discrete” and “linear” by “affine”.

Url:
DOI: 10.1007/978-1-4612-1019-1_1


Affiliations:


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