A sofic group away from amenable groups

被引：18
|
作者：
Cornulier, Yves [1 ]
机构：
[1] IRMAR, F-35042 Rennes, France
来源：
MATHEMATISCHE ANNALEN | 2011年 / 350卷 / 02期
关键词：
20E26; 43A07;
D O I：
10.1007/s00208-010-0557-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an example of a sofic group, which is not a limit of amenable groups.
引用
收藏
页码：269 / 275
页数：7
相关论文
共 50 条
  • [41] Amenable hyperbolic groups
    Caprace, Pierre-Emmanuel
    Cornulier, Yves
    Monod, Nicolas
    Tessera, Romain
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2015, 17 (11) : 2903 - 2947
  • [42] Tilings of amenable groups
    Downarowicz, Tomasz
    Huczek, Dawid
    Zhang, Guohua
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 747 : 277 - 298
  • [43] CONTRACTIBLE GROUPS ARE AMENABLE
    MUELLERR.PR
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A603 - A603
  • [44] AMENABLE ACTIONS OF GROUPS
    ADAMS, S
    ELLIOTT, GA
    GIORDANO, T
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 344 (02) : 803 - 822
  • [45] CHARACTERIZATIONS OF AMENABLE GROUPS
    EMERSON, WR
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 241 (JUL) : 183 - 194
  • [46] A non-LEA sofic group
    ADITI KAR
    NIKOLAY NIKOLOV
    [J]. Proceedings - Mathematical Sciences, 2017, 127 : 289 - 293
  • [47] Amenable groups without finitely presented amenable covers
    Benli, Mustafa Goekhan
    Grigorchuk, Rostislav
    de la Harpe, Pierre
    [J]. BULLETIN OF MATHEMATICAL SCIENCES, 2013, 3 (01) : 73 - 131
  • [48] ENTROPY ON MODULES OVER THE GROUP RING OF A SOFIC GROUP
    Liang, Bingbing
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (02) : 727 - 734
  • [49] A non-LEA sofic group
    Kar, Aditi
    Nikolov, Nikolay
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2017, 127 (02): : 289 - 293
  • [50] Invariant coupling of determinantal measures on sofic groups
    Lyons, Russell
    Thom, Andreas
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2016, 36 : 574 - 607
12345