• Corpus ID: 244488706

Hurwitz groups, maximal reducible groups and maximal handlebody groups

@inproceedings{Zimmermann2021HurwitzGM,
  title={Hurwitz groups, maximal reducible groups and maximal handlebody groups},
  author={Bruno Zimmermann},
  year={2021}
}
A Hurwitz group is a finite group of orientation-preserving diffeomorphisms of maximal possible order 84(g − 1) of a closed orientable surface of genus g > 1. A maximal handlebody group instead is a group of orientation-preserving diffeomorphisms of maximal possible order 12(g − 1) of a 3-dimensional handlebody of genus g > 1. We consider the question of when a Hurwitz group acting on a surface of genus g contains a subgroup of maximal possible order 12(g − 1) extending to a handlebody (or… 

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