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
收藏
页码：221 / 226
页数：6
相关论文
共 50 条
12345