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arxiv: 1509.00906 · v3 · pith:IVFLTZ3Cnew · submitted 2015-09-03 · 🧮 math.GT · math.DG· math.GR

Spherical space forms revisited

classification 🧮 math.GT math.DGmath.GR
keywords classificationfinitegroupssomecomplementsdimensionformsfreely
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We give a simplified proof of J. A. Wolf's classification of finite groups that can act freely and isometrically on a round sphere of some dimension. We slightly improve the classification by removing some non-obvious redundancy. The groups are the same as the Frobenius complements of finite group theory.

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