Absolute irreducibility for finitary linear groups
Actions de groupes sur les arbres
Actions of finitely generated groups on -trees
We study actions of finitely generated groups on -trees under some stability hypotheses. We prove that either the group splits over some controlled subgroup (fixing an arc in particular), or the action can be obtained by gluing together actions of simple types: actions on simplicial trees, actions on lines, and actions coming from measured foliations on -orbifolds. This extends results by Sela and Rips-Sela. However, their results are misstated, and we give a counterexample to their statements.The...
Actions of groups on lattices.
Active sums I.
Given a generating family F of subgroups of a group G closed under conjugation and with partial order compatible with inclusion, a new group S can be constructed, taking into account the multiplication in the subgroups and their mutual actions given by conjugation. The group S is called the active sum of F, has G as a homomorph and is such that S/Z(S) ≅ G/Z(G) where Z denotes the center.The basic question we investigate in this paper is: when is the active sum S of the family F isomorphic to the...
Active sums of groups.
Addendum and corrigendum to «Automorfismi che fissano i centralizzanti di un gruppo»
Adjoining conjugating elements to finite groups
Adjoint groups and the Mal'cev correspondence (a tale of four functors)
Affinities of groups
Alcuni aspetti della teoria reticolare dei gruppi infiniti
Algebraic sets and coordinate groups for a free nilpotent group of nilpotency class 2.
Algebre di Lie graduate in caratteristica due
Algèbres de Lie et pro-p-groupes définis par une seule relation.
Algorithmic problems related to the direct product of groups.
Algorithmic verification of quasi-isometry of some HNN-extensions of Abelian groups.
Algunas observaciones acerca de matrices triangulares sobre anillos
All geometries of the Mathieu group based on maximal subgroups.
All subvarieties of have finite bases of identities.
Almost all one-relator groups with at least three generators are residually finite
We prove that with probability tending to 1, a one-relator group with at least three generators and the relator of length is residually finite, is a virtually residually (finite -)group for all sufficiently large , and is coherent. The proof uses both combinatorial group theory and non-trivial results about Brownian motions.