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A Group Theoretic Characterization of the 2-Dimensional Spherical Groups

Published online by Cambridge University Press:  20 November 2018

Andy Miller
Andy Miller*
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK, USA 73019
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Abstract

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It is shown that for a finite group G to be isomorphic to a subgroup of SO(3) (or, equivalently, of PSL(2, C)) it is necessary and sufficient that G satisfies the property that the normalizer of every cyclic subgroup is either cyclic or dihedral.

Keywords

20D9920F3830F4057S30finite groupKleinian groupspherical grouptriangle group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 4 , 01 December 1989 , pp. 459 - 466
Copyright
Copyright © Canadian Mathematical Society 1989

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