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Groups Generated by Unitary Reflections of Period Two

Published online by Cambridge University Press:  20 November 2018

H. S. M. Coxeter
H. S. M. Coxeter*
Affiliation:
University of Toronto
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In complex affine n-space with a unitary metric, a reflection is a congruent transformation leaving invariant all the points of a hyperplane. Thus the characteristic roots of a unitary reflection of period p consist of a primitive pth root of unity and n – 1 unities. A group generated by n reflections is conveniently represented by a graph having a node for each generator and a branch for each pair of non-commutative generators.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 243 - 272
Copyright
Copyright © Canadian Mathematical Society 1957

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