We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of the residual separability of a single associated subgroup. This classification provides a method to construct automorphism-induced HNN-extensions which are not residually finite. We prove that this method can never yield a “new” counter-example to Gromov’s conjecture on the residual finiteness of hyperbolic groups
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, ...
AbstractWe show that every virtually torsion-free subgroup of the outer automorphism group of a conj...
Die Frage, ob alle hyperbolischen Gruppen residuell endlich sind, ist offen, seit- dem sie von Mika...
We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of th...
AbstractWe prove that every ascending HNN extension of a polycyclic-by-finite group is residually fi...
AbstractWe produce two examples demonstrating that an ascending HNN extension of a finitely generate...
AbstractIn this note we first establish a criterion for the conjugacy separability of HNN extensions...
We show that Out(G) is residually finite if G is one-ended and hyperbolic relative to virtually poly...
AbstractWe give a criterion for an HNN extension of a finite p-group to be residually p
AbstractWe prove that the HNN-extension G = 〈t, K | t−1At = B, φ〉 of a finitely generated abelian gr...
Abstract. A sufficient condition for root-class residuality of HNN-extensions with root-class residu...
AbstractWe show that every word-hyperbolic group is residually finite if and only if every word-hype...
AbstractWe produce two examples demonstrating that an ascending HNN extension of a finitely generate...
AbstractWe show that an HNN-extension with finitely generated abelian base group is Z-linear if and ...
AbstractWe prove that every ascending HNN extension of a polycyclic-by-finite group is residually fi...
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, ...
AbstractWe show that every virtually torsion-free subgroup of the outer automorphism group of a conj...
Die Frage, ob alle hyperbolischen Gruppen residuell endlich sind, ist offen, seit- dem sie von Mika...
We classify finitely generated, residually finite automorphism-induced HNN-extensions in terms of th...
AbstractWe prove that every ascending HNN extension of a polycyclic-by-finite group is residually fi...
AbstractWe produce two examples demonstrating that an ascending HNN extension of a finitely generate...
AbstractIn this note we first establish a criterion for the conjugacy separability of HNN extensions...
We show that Out(G) is residually finite if G is one-ended and hyperbolic relative to virtually poly...
AbstractWe give a criterion for an HNN extension of a finite p-group to be residually p
AbstractWe prove that the HNN-extension G = 〈t, K | t−1At = B, φ〉 of a finitely generated abelian gr...
Abstract. A sufficient condition for root-class residuality of HNN-extensions with root-class residu...
AbstractWe show that every word-hyperbolic group is residually finite if and only if every word-hype...
AbstractWe produce two examples demonstrating that an ascending HNN extension of a finitely generate...
AbstractWe show that an HNN-extension with finitely generated abelian base group is Z-linear if and ...
AbstractWe prove that every ascending HNN extension of a polycyclic-by-finite group is residually fi...
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, ...
AbstractWe show that every virtually torsion-free subgroup of the outer automorphism group of a conj...
Die Frage, ob alle hyperbolischen Gruppen residuell endlich sind, ist offen, seit- dem sie von Mika...