Add to ORKGWe characterize permutational wreath products with Property (FA). For instance, the standard wreath product A wr B of two nontrivial countable groups A,B, has Property (FA) if and only if B has Property (FA) and A is a finitely generated group with finite abelianisation. We also prove an analogous result for hereditary Property (FA). On the other hand, we prove that many wreath products with hereditary Property (FA) are not quotients of finitely presented groups with the same property
We show that the wreath product of two finite symmetric or alternating groups is 2-generated
The wreath product W = A wreath product T, where A ≠ 1, is of type F P2 if and only if T is finite a...
Abstract. We study the minimal non-trivial subdegrees of finite primitive permutation groups that ad...
We prove that the standard wreath product A \wr B has Property (FA) if and only if B has Property (F...
This is an exposition on the representation theory of wreath products of finite groups, with many ex...
AbstractA notion of graph-wreath product of groups is introduced. We obtain sufficient conditions fo...
A notion of graph-wreath product is introduced. We obtain sufficient conditions for these products t...
The group property FW stands in-between the celebrated Kazdhan's property (T) and Serre's property F...
The purpose of the paper is to investigate finite generation and some other basic finiteness conditi...
AbstractWe introduce an invariant of finite permutation groups called the arity which is well known ...
UnpublishedWe characterise the group property of being with infinite conjugacy classes for wreath pr...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOWe study the homological finiten...
We compute commutativity degrees of wreath products AoB of nite abelian groups A and B. When B is xe...
Abstract. We characterize which permutational wreath products G⋉W (X) are finitely presented. This i...
Given a permutational wreath product sequence of cyclic groups, we investigate its minimal generatin...
We show that the wreath product of two finite symmetric or alternating groups is 2-generated
The wreath product W = A wreath product T, where A ≠ 1, is of type F P2 if and only if T is finite a...
Abstract. We study the minimal non-trivial subdegrees of finite primitive permutation groups that ad...
We prove that the standard wreath product A \wr B has Property (FA) if and only if B has Property (F...
This is an exposition on the representation theory of wreath products of finite groups, with many ex...
AbstractA notion of graph-wreath product of groups is introduced. We obtain sufficient conditions fo...
A notion of graph-wreath product is introduced. We obtain sufficient conditions for these products t...
The group property FW stands in-between the celebrated Kazdhan's property (T) and Serre's property F...
The purpose of the paper is to investigate finite generation and some other basic finiteness conditi...
AbstractWe introduce an invariant of finite permutation groups called the arity which is well known ...
UnpublishedWe characterise the group property of being with infinite conjugacy classes for wreath pr...
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOWe study the homological finiten...
We compute commutativity degrees of wreath products AoB of nite abelian groups A and B. When B is xe...
Abstract. We characterize which permutational wreath products G⋉W (X) are finitely presented. This i...
Given a permutational wreath product sequence of cyclic groups, we investigate its minimal generatin...
We show that the wreath product of two finite symmetric or alternating groups is 2-generated
The wreath product W = A wreath product T, where A ≠ 1, is of type F P2 if and only if T is finite a...
Abstract. We study the minimal non-trivial subdegrees of finite primitive permutation groups that ad...