Finite subgroups of diffeomorphism groups
Group Theory
2014-01-07 v2 Algebraic Geometry
Algebraic Topology
Geometric Topology
Abstract
We prove:(1) the existence, for every integer n > 3, of a noncompact smooth n-dimensional topological manifold whose diffeomorphism group contains an isomorphic copy of every finitely presented group; (2) a finiteness theorem on finite simple subgroups of diffeomorphism groups of compact smooth topological manifolds.
Cite
@article{arxiv.1310.6548,
title = {Finite subgroups of diffeomorphism groups},
author = {Vladimir L. Popov},
journal= {arXiv preprint arXiv:1310.6548},
year = {2014}
}
Comments
7 pages. Several minor corrections and updates are made, and the sketch of proof of Theorem 2 is replaced by a complete proof