Finite subgroups of diffeomorphism groups

被引：0
|
作者：
Vladimir L. Popov
机构：
[1] Steklov Mathematical Institute of Russian Academy of Sciences,
来源：
Proceedings of the Steklov Institute of Mathematics | 2015年 / 289卷
关键词：
STEKLOV Institute; Algebraic Variety; Chevalley Group; Finite Subgroup; Isomorphic Copy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove the following: (1) the existence, for every integer n ≥ 4, of a noncompact smooth n-dimensional topological manifold whose diffeomorphism group contains an isomorphic copy of every finitely presented group; (2) a finiteness theorem for finite simple subgroups of diffeomorphism groups of compact smooth topological manifolds.
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页码：221 / 226
页数：5
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