Add to ORKGAn automorphism α of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups. In particular, we prove that for any relatively hy-perbolic group G, Inn(G) has finite index in the subgroup Autn(G) of normal automorphisms. If, in addition, G is non-elementary and has no non-trivial finite normal subgroups, then Autn(G) = Inn(G). As an application, we show that Out(G) is residually finite for every finitely generated residually finite group G with more than one end
Minor modifications. To appear in Geometry Groups and Dynamics.International audienceWe study automo...
Minor modifications. To appear in Geometry Groups and Dynamics.International audienceWe study automo...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an al...
Let G be a finitely generated relatively hyperbolic group. We show that if no peripheral subgroup of...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
AbstractWe characterize relatively hyperbolic groups whose reduced C∗-algebra is simple as those, wh...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
AbstractWe show that every virtually torsion-free subgroup of the outer automorphism group of a conj...
A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nea...
Let G be a finitely generated relatively hyperbolic group. We show that if no peripheral subgroup of...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
Minor modifications. To appear in Geometry Groups and Dynamics.International audienceWe study automo...
Minor modifications. To appear in Geometry Groups and Dynamics.International audienceWe study automo...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an al...
Let G be a finitely generated relatively hyperbolic group. We show that if no peripheral subgroup of...
We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which hav...
AbstractWe characterize relatively hyperbolic groups whose reduced C∗-algebra is simple as those, wh...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalen...
AbstractWe show that every virtually torsion-free subgroup of the outer automorphism group of a conj...
A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nea...
Let G be a finitely generated relatively hyperbolic group. We show that if no peripheral subgroup of...
A subgroup H of a group G is said to be nearly normal in G if it has finite index in its normal clos...
Minor modifications. To appear in Geometry Groups and Dynamics.International audienceWe study automo...
Minor modifications. To appear in Geometry Groups and Dynamics.International audienceWe study automo...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...