When is the underlying space of an orbifold a manifold?

Abstract

We classify orthogonal actions of finite groups on Euclidean vector spaces for which the corresponding quotient space is a topological, homological or Lipschitz manifold, possibly with boundary. In particular, our results answer the question of when the underlying space of an orbifold is a manifold.

29 pages, combined with former arXiv:1509.06796, title updated, to appear in Trans. Amer. Math. Soc

Cited by in corpus (4)

• Characterization of finite groups generated by reflections and rotations
• Classification of finite groups generated by reflections and rotations
• When is the underlying space of an orbifold a manifold with boundary?
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