On intersection two nilpotent subgroups in small groups
In the paper we prove that if G is a finite almost simple group with socle isomorphic to G2(3), G2(4), F4(2), 2E6(2), Sz(8), then for every nilpotent subgroups A, B of G there exists an element g ? G such that A П Bg = 1, except the case G = Aut(F4(2)), and A,B are 2-groups.