P. Fleischmann et al., THE P-INTERSECTION SUBGROUPS IN QUASI-SIMPLE AND ALMOST SIMPLE FINITE-GROUPS, Journal of algebra (Print), 207(1), 1998, pp. 1-42
Let p be a fixed prime and G a finite group. A proper subgroup X < G i
s called a p-intersection subgroup if X boolean AND X-8 is a p-group f
or each g is an element of G\X, but X is not a p-group. In this paper
we classify the p-intersection subgroups in the quasi-simple and almos
t simple finite groups. (C) 1998 Academic Press.