Characterization of finite groups generated by reflections and rotations

Abstract

We characterize finite groups G generated by orthogonal transformations in a finite-dimensional Euclidean space V whose fixed point subspace has codimension one or two in terms of the corresponding quotient space V/G with its quotient piecewise linear structure.

revised version, accepted by Journal of Topology

References in corpus (2)

• Ricci flow with surgery on three-manifolds
• Ricci Flow and the Poincare Conjecture

Cited by in corpus (5)

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• When are permutation invariants Cohen-Macaulay over all fields?
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• A rotation group whose subspace arrangement is not from a real reflection group