scholarly journals Mass formulas for local Galois representations to wreath products and cross products

2008 ◽  
Vol 2 (4) ◽  
pp. 391-405 ◽  
Author(s):  
Melanie Wood
Keyword(s):  
Galois Representations ◽  
Wreath Products ◽  
Mass Formulas

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

Generalized wreath products of $m$-groups

2019 ◽  
Vol 58 (2) ◽  
pp. 167-178
Author(s):  
A. V. Zenkov ◽  
O. V. Isaeva
Keyword(s):  
Wreath Products

Infinitely presented permutation stable groups and invariant random subgroups of metabelian groups

2021 ◽  
pp. 1-36
Author(s):  
ARIE LEVIT ◽  
ALEXANDER LUBOTZKY
Keyword(s):  
Ergodic Theorem ◽  
Abelian Groups ◽  
Wreath Products ◽  
Finitely Generated ◽  
Metabelian Groups ◽  
Amenable Groups ◽  
Pointwise Ergodic Theorem ◽  
Lamplighter Group ◽  
Invariant Random Subgroups

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.

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