Intersecting families in the alternating group and direct product of symmetric groups. Ku, Cheng Yeaw, Wong, Tony W.H. (2007) The Electronic Journal of Combinatorics [electronic only]
Intersection graphs of subgroups of finite groups Rulin Shen (2010) Czechoslovak Mathematical Journal In this paper we classify finite groups with disconnected intersection graphs of subgroups. This solves a problem posed by Csákány and Pollák.