On finite index reflection subgroups of discrete reflection groups

A. Felikson; P. Tumarkin

doi:10.1007/s10688-005-0011-y

On finite index reflection subgroups of discrete reflection groups

度量几何 2019-10-25 v1 群论

作者: A. Felikson , P. Tumarkin

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摘要

Let $G$ be a discrete group generated by reflections in hyperbolic or Euclidean space, and $H\subset G$ be a finite index subgroup generated by reflections. Suppose that the fundamental chamber of $G$ is a finite volume polytope with $k$ facets. In this paper, we prove that the fundamental chamber of $H$ has at least $k$ facets.

关键词

finite group theory representation theory of groups group theory

引用

@article{arxiv.math/0305093,
  title  = {On finite index reflection subgroups of discrete reflection groups},
  author = {A. Felikson and P. Tumarkin},
  journal= {arXiv preprint arXiv:math/0305093},
  year   = {2019}
}

备注

5 pages

On finite index reflection subgroups of discrete reflection groups

摘要

关键词

引用

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