Henry Bradford

Co-intersection graphs of nonabelian finite simple groups have diameter two

Let $G$ be a finite group. The co-intersection graph $\Delta_G ^c$ of $G$ has as its vertices the nontrivial proper subgroups of $G$, with edges joining those pairs of subgroups which intersect trivially. It is clear that every connected component of $\Delta_G ^c$ has diameter at most three. In this Note, we show that...