Class-preserving automorphisms and the normalizer property for Blackburn groups

Martin Hertweck, Eric Jespers

For a group $G$, let $U$ be the group of units of the integral group ring $\mathbb{Z}G$. The group $G$ is said to have the normalizer property if ${\text{N}}_U(G)=\text{Z}(U)G$. It i…