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 G<sub>2</sub>(3), G<sub>2</sub>(4), F<sub>4</sub>(2), <sup>2</sup>E<sub>6</sub>(2), Sz(8), then for every nilpotent subgroups A, B of G there exists an element g ? G such that A П B<sup>g</sup> = 1, except the case G = Aut(F<sub>4</sub>(2)), and A,B are 2-groups.