On the isometry group of the Urysohn space

被引：23

作者：

Tent, Katrin ^{[1
]}

Ziegler, Martin ^{[2
]}

机构：

[1] Univ Munster, Inst Math, D-48149 Munster, Germany

[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2013年 / 87卷

关键词：

D O I：

10.1112/jlms/jds027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a general criterion for the (bounded) simplicity of the automorphism groups of certain countable structures and apply it to show that the isometry group of the Urysohn space modulo the normal subgroup of bounded isometries is a simple group.

引用

页码：289 / 303

页数：15

共 50 条

[1] The isometry group of the Urysohn space as a Levy group
Pestov, Vladimir
TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (10) : 2173 - 2184
[2] Topology of the isometry group of the Urysohn space
Melleray, Julien
FUNDAMENTA MATHEMATICAE, 2010, 207 (03) : 273 - 287
[3] The isometry group of the bounded Urysohn space is simple
Tent, Katrin
Ziegler, Martin
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 : 1026 - 1030
[4] Some isometry groups of the Urysohn space
Cameron, P. J.
Vershik, A. M.
ANNALS OF PURE AND APPLIED LOGIC, 2006, 143 (1-3) : 70 - 78
[5] The isometry group of Outer Space
Francaviglia, Stefano
Martino, Armando
ADVANCES IN MATHEMATICS, 2012, 231 (3-4) : 1940 - 1973
[6] The Isometry Group of an RCD* Space is Lie
Sosa, Gerardo
POTENTIAL ANALYSIS, 2018, 49 (02) : 267 - 286
[7] THE ISOMETRY GROUP OF CHINESE CHECKER SPACE
Gelisgen, Ozcan
Kaya, Rustem
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (02): : 82 - 96
[8] The Isometry Group of an RCD∗ Space is Lie
Gerardo Sosa
Potential Analysis, 2018, 49 : 267 - 286
[9] ON DETERMINING THE ISOMETRY GROUP OF A RIEMANNIAN SPACE
KARLHEDE, A
MACCALLUM, MAH
GENERAL RELATIVITY AND GRAVITATION, 1982, 14 (07) : 673 - 682
[10] Polish ultrametric Urysohn spaces and their isometry groups
Gao, Su
Shao, Chuang
TOPOLOGY AND ITS APPLICATIONS, 2011, 158 (03) : 492 - 508

← 1 2 3 4 5 →