Groups Generated by Unitary Reflections of Period Two
- 1 January 1957
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 9, 243-272
- https://doi.org/10.4153/cjm-1957-032-2
Abstract
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.Keywords
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