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.

引用

页码：221 / 226

页数：5

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