We provide examples of groups which are indecomposable by direct product, and more generally which are uniquely decomposable as direct products of indecomposable groups. Examples include Coxeter groups, for which we give an alternative approach to recent results of L. Paris. For a finitely generated linear group Γ, we establish an upper bound on the number of factors of which Γ can be the direct product. If moreover Γ has a finite centre or a finite abelianization, it follows that Γ is uniquely decomposable as direct product of indecomposable groups
International audienceGeneralizing previous results, we give an algebraic characterization of elemen...
Abstract. In this paper we study obstructions to presentability by prod-ucts for finitely generated ...
In this paper, we classify the direct products of one-dimensional compact connected abelian groups b...
We provide examples of groups which are indecomposable by direct product, and more generally which a...
We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-...
AbstractMotivated by examples in infinite group theory, we classify the finite groups whose subgroup...
Complete presentations provide a natural solution to the word problem in monoids and groups. Here we...
summary:Almost completely decomposable groups with a critical typeset of type $(1,3)$ and a $p$-pri...
AbstractWe investigate the set of those integers n for which directly indecomposable groups of order...
summary:In this paper we generalize a result of Libkin concerning direct product decompositions of l...
In this paper we study obstructions to presentability by products for finitely generated groups. Alo...
AbstractIn this manscript, we discuss three open problems on direct products of groups. In spite of ...
Abstract. In this paper proves a result about free products of groups, namely, that if a group is fi...
Summary. In this article, we formalize that every finite cyclic group is isomorphic to a direct prod...
Let Γ = {Gi} be a countable collection of groups. Then its cartesian product can be made into a gro...
International audienceGeneralizing previous results, we give an algebraic characterization of elemen...
Abstract. In this paper we study obstructions to presentability by prod-ucts for finitely generated ...
In this paper, we classify the direct products of one-dimensional compact connected abelian groups b...
We provide examples of groups which are indecomposable by direct product, and more generally which a...
We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-...
AbstractMotivated by examples in infinite group theory, we classify the finite groups whose subgroup...
Complete presentations provide a natural solution to the word problem in monoids and groups. Here we...
summary:Almost completely decomposable groups with a critical typeset of type $(1,3)$ and a $p$-pri...
AbstractWe investigate the set of those integers n for which directly indecomposable groups of order...
summary:In this paper we generalize a result of Libkin concerning direct product decompositions of l...
In this paper we study obstructions to presentability by products for finitely generated groups. Alo...
AbstractIn this manscript, we discuss three open problems on direct products of groups. In spite of ...
Abstract. In this paper proves a result about free products of groups, namely, that if a group is fi...
Summary. In this article, we formalize that every finite cyclic group is isomorphic to a direct prod...
Let Γ = {Gi} be a countable collection of groups. Then its cartesian product can be made into a gro...
International audienceGeneralizing previous results, we give an algebraic characterization of elemen...
Abstract. In this paper we study obstructions to presentability by prod-ucts for finitely generated ...
In this paper, we classify the direct products of one-dimensional compact connected abelian groups b...