Fraisse structures with universal automorphism groups

被引：6

作者：

Mueller, Isabel

机构：

来源：

JOURNAL OF ALGEBRA | 2016年 / 463卷

关键词：

Universal groups; Automorphism groups; Polish groups; Fraisse structures; Tower constructions; Urysohn space; Generalized polygons; Independence relations; Combinatorics;

D O I：

10.1016/j.jalgebra.2016.06.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the automorphism group of a Fraisse structure M equipped with a notion of stationary independence is universal for the class of automorphism groups of substructures of M. Furthermore, we show that this applies to certain homogeneous n-gons. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：134 / 151

页数：18

共 50 条

[1] Amenability and unique ergodicity of automorphism groups of Fraisse structures
Zucker, Andy
[J]. FUNDAMENTA MATHEMATICAE, 2014, 226 (01) : 41 - 61
[2] Fraisse limits, Ramsey theory, and topological dynamics of automorphism groups
Kechris, AS
Pestov, VG
Todorcevic, S
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2005, 15 (01) : 106 - 189
[3] On the automorphism groups of universal submeasures
Meza-Alcantara, David
Nunez-Rosales, Fernando
[J]. TOPOLOGY AND ITS APPLICATIONS, 2022, 311
[4] Automorphism groups of universal diversities
Hallback, Andreas
[J]. TOPOLOGY AND ITS APPLICATIONS, 2020, 285
[5] AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES
Ibarlucia, Tomas
[J]. JOURNAL OF SYMBOLIC LOGIC, 2017, 82 (03) : 1150 - 1179
[6] On automorphism groups of countable structures
Su, G
[J]. JOURNAL OF SYMBOLIC LOGIC, 1998, 63 (03) : 891 - 896
[7] FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Luecke, Philipp
Shelah, Saharon
[J]. FORUM OF MATHEMATICS SIGMA, 2014, 2
[8] On universal words for automorphism groups of linear orders
Welch, LV
Adeleke, SA
[J]. ORDERED ALGEBRAIC STRUCTURES, 1997, : 315 - 332
[9] AUTOMORPHISM GROUPS OF DIRECT SQUARES OF UNIVERSAL ALGEBRAS
GOULD, MI
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (03): : A364 - A364
[10] Semilinear representations of symmetric groups and of automorphism groups of universal domains
M. Rovinsky
[J]. Selecta Mathematica, 2018, 24 : 2319 - 2349

← 1 2 3 4 5 →