scholarly journals Invariant random subgroups of linear groups

2017 ◽  
Vol 219 (1) ◽  
pp. 215-270 ◽  
Author(s):  
Yair Glasner
2021 ◽  
pp. 1-36
Author(s):  
ARIE LEVIT ◽  
ALEXANDER LUBOTZKY

Abstract We prove that all invariant random subgroups of the lamplighter group L are co-sofic. It follows that L is permutation stable, providing an example of an infinitely presented such group. Our proof applies more generally to all permutational wreath products of finitely generated abelian groups. We rely on the pointwise ergodic theorem for amenable groups.


2012 ◽  
Vol 53 (6) ◽  
pp. 1110-1114 ◽  
Author(s):  
V. I. Matyukhin
Keyword(s):  

1985 ◽  
Vol 44 (1) ◽  
pp. 15-19
Author(s):  
B. Baumann ◽  
C. Ho

1997 ◽  
Vol 90 (3) ◽  
pp. 549-576 ◽  
Author(s):  
Avner Ash ◽  
Mark McConnell

1993 ◽  
Vol s2-47 (1) ◽  
pp. 31-40 ◽  
Author(s):  
Ulrich Meierfrankenfeld ◽  
Richard E. Phillips ◽  
Orazio Puglisi

1983 ◽  
Vol 40 (1) ◽  
pp. 481-494 ◽  
Author(s):  
B. A. F. Wehrfritz

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