Geodesic
A Group Theoretic Characterization of the 2-Dimensional Spherical Groups
Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 459-466

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DOI

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.
DOI : 10.4153/CMB-1989-066-7
Mots-clés : 20D99, 20F38, 30F40, 57S30, finite group, Kleinian group, spherical group, triangle group 
Miller, Andy. A Group Theoretic Characterization of the 2-Dimensional Spherical Groups. Canadian mathematical bulletin, Tome 32 (1989) no. 4, pp. 459-466. doi: 10.4153/CMB-1989-066-7
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     journal = {Canadian mathematical bulletin},
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     doi = {10.4153/CMB-1989-066-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-066-7/}
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