Finite and locally solvable periodic groups with given intersections of certain subgroups

Abstract

Let G be a group and p be a prime. We say that two subgroups are incident if either or . A group G is an -group if, for any finite non-incident subgroups of G, a p-Sylow subgroup of is cyclic. In this paper we give a complete classification of solvable and locally solvable periodic -groups.