Groups with subnormal subgroups of bounded defect
Groups with the weak minimal condition for non-subnormal subgroups II
Let be a group with the property that there are no infinite descending chains of non-subnormal subgroups of for which all successive indices are infinite. The main result is that if is a locally (soluble-by-finite) group with this property then either has all subgroups subnormal or is a soluble-by-finite minimax group. This result fills a gap left in an earlier paper by the same authors on groups with the stated property.
Groups with -minimal and -layer minimal conditions. I.
Groups with -minimal and -layer minimal conditions. II.
Group-theoretic compactification of Bruhat–Tits buildings
Group-theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we provide geometric tools with which variations of this theorem can be proved in all dimensions.
Growth functions and automatic groups.
Growth functions and Euler series.
Growth functions for some uniformly amenable groups
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.
Growth functions of surface groups.
Growth functions on Fuchsian groups and the Euler characteristic.
Growth in
Growth of planar Coxeter groups, P.V. numbers, and Salem numbers.
Growth Series of Finite Extensions of ...n are Rational.
Growth tightness of free and amalgamated products
Gruppentheoretischer Aufbau affiner Räume einer beliebigen Dimension ... 2 auf der Grundlage von Schrägspiegelungen
Gruppi che sono unione di un numero finito di laterali doppi
Gruppi con identità semigruppali: su una congettura di M. V. Sapir
M. V. Sapir ha formulato la seguente congettura: non esiste un semigruppo infinito, finitamente generabile, soddisfacente l'identità e immagine omomorfa di un sottosemigruppo di un gruppo nilpotente. Se ciò vale, ogni gruppo risolubile con una base finita per le sue identità semigruppali è abeliano o di esponente finito. In questo lavoro si prova la congettura di Sapir quando l'interderivato è periodico o se è -generato e è periodico.
Gruppi con pochi sottogruppi non quasinormali
Gruppi ed automorfismi