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Abstract Definitions for Reflection Groups

Published online by Cambridge University Press:  20 November 2018

G. C. Shephard
G. C. Shephard*
Affiliation:
University of Birmingham
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This paper is an appendix to “Finite unitary reflection groups” by J. A. Todd and the author (3) in which the irreducible finite groups generated by reflections in unitary space (2, p. 364) are enumerated and abstract definitions are given for all those n-dimensional groups which may be generated by n reflections.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 273 - 276
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Coxeter, H. S. M., Groups generated by unitary reflections of period two, Can. J. Math. 9 (1957), 243–272.Google Scholar
la. Coxeter, H. S. M. and Moser, W. O. J., Generators and relations, Ergebnisse der Math., Neue Folge, 14 (1957).Google Scholar
2. Shephard, G. C. Unitary groups generated by reflections, Can. J. Math. 5 (1953), 364–383.Google Scholar
3. Shephard, G. C. and Todd, J. A. Finite unitary reflection groups, Can. J. Math. 6 (1954), 274–04.Google Scholar