Spherical space forms revisited

Allcock, Daniel

doi:10.1090/tran/7167

Spherical space forms revisited
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Trans. Amer. Math. Soc. 370 (2018), 5561-5582 Request permission

Abstract:

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 nonobvious redundancy. The groups are the same as the Frobenius complements of finite group theory.

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