Groups Generated by Unitary Reflections of Period Two

作者：H. S. M. Coxeter · 发表于：Canadian Journal of Mathematics · 年份：1957 · DOI：10.4153/cjm-1957-032-2 · 被引用次数：34 · 研究领域：Finite Group Theory Research、graph theory and CDMA systems、Coding theory and cryptography

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.