Given a sequence Ci of cyclic groups of prime orders, let Γ be the inverse limit of the iterated wreath products Cm≀ ⋯ ≀ C2≀ C1. We prove that the profinite group Γ is not topologically finitely invariably generated
AbstractIn this paper we show using a purely combinatorial argument that a finitely generated infini...
International audienceAntonenko and Russyev independently have shown that any Mealy automaton with n...
A finite group G is coprimely-invariably generated if there exists a set of generators {g1,\u2026,...
The degree of commutativity of a finite group is the probability that two uniformly and randomly cho...
A group G is invariably generated by a subset S of G if G = \u3008sg(s) | s 08 S\u3009 for each cho...
We give a criterion to decide whether an iterated permutational wreath product of finite transitive ...
A group $G$ is invariably generated (IG) if there is a subset $S \subseteq G$ such that for every su...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
AbstractA notion of graph-wreath product of groups is introduced. We obtain sufficient conditions fo...
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bo...
Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimel...
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bo...
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bo...
We characterize which permutational wreath products $$G \ltimes W^{(X)}$$ are finitely presented. Th...
AbstractLet G be a (topological) group. For 2⩽d∈N, denote by μd(G) the largest m for which there exi...
AbstractIn this paper we show using a purely combinatorial argument that a finitely generated infini...
International audienceAntonenko and Russyev independently have shown that any Mealy automaton with n...
A finite group G is coprimely-invariably generated if there exists a set of generators {g1,\u2026,...
The degree of commutativity of a finite group is the probability that two uniformly and randomly cho...
A group G is invariably generated by a subset S of G if G = \u3008sg(s) | s 08 S\u3009 for each cho...
We give a criterion to decide whether an iterated permutational wreath product of finite transitive ...
A group $G$ is invariably generated (IG) if there is a subset $S \subseteq G$ such that for every su...
AbstractA subset S of a finite group G invariably generates G if G=〈sg(s)|s∈S〉 for each choice of g(...
AbstractA notion of graph-wreath product of groups is introduced. We obtain sufficient conditions fo...
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bo...
Colva Roney-Dougal acknowledges the support of EPSRC grant EP/I03582X/1.A finite group G is coprimel...
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bo...
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bo...
We characterize which permutational wreath products $$G \ltimes W^{(X)}$$ are finitely presented. Th...
AbstractLet G be a (topological) group. For 2⩽d∈N, denote by μd(G) the largest m for which there exi...
AbstractIn this paper we show using a purely combinatorial argument that a finitely generated infini...
International audienceAntonenko and Russyev independently have shown that any Mealy automaton with n...
A finite group G is coprimely-invariably generated if there exists a set of generators {g1,\u2026,...
DOI
Add to ORKG