%0 Journal Article %T Blocks with transitive fusion systems %A L¨¢zl¨® H¨¦thelyi %A Radha Kessar %A Burkhard K¨¹lshammer %A Benjamin Sambale %J Mathematics %D 2014 %I arXiv %X Suppose that all nontrivial subsections of a $p$-block $B$ are conjugate (where $p$ is a prime). By using the classification of the finite simple groups, we prove that the defect groups of $B$ are either extraspecial of order $p^3$ with $p \in \{3,5\}$ or elementary abelian. %U http://arxiv.org/abs/1410.5705v1