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Finite Rotation Groups in Low Dimensions

Published online by Cambridge University Press:  20 November 2018

Donald K. Friesen
Donald K. Friesen*
Affiliation:
University of Illinois, Urbana, Illinois
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Let F be a vector space of dimension two, three, or four over a field of characteristic not two, and let V have a non-singular orthogonal metric. The problem discussed in this paper is the determination of all finite groups that can occur as subgroups of the rotation group of V.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 711 - 719
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

This work was partially supported by a grant from the Carnegie Foundation. It is based on the author's doctoral dissertation at Dartmouth College written under the direction of Professor Ernst Snapper.

References

1. Artin, E., Geometric algebra (Interscience, New York, 1957).Google Scholar
2. Coxeter, H. S. M., Introduction to geometry (Wiley, New York, 1961).Google Scholar
3. Feit, W., On the structure of Frobenius groups, Can. J. Math., 9 (1957), 587–596.Google Scholar
4. Suzuki, M., On a finite group with a partition, Arch. Math., 12 (1961), 241–254.Google Scholar