Finite subgroups of diffeomorphism groups

被引：14

作者：

Popov, Vladimir L. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2015年 / 289卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

STEKLOV Institute; Algebraic Variety; Chevalley Group; Finite Subgroup; Isomorphic Copy;

D O I：

10.1134/S0081543815040148

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the following: (1) the existence, for every integer n a parts per thousand yen 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：6

共 22 条

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