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


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

DOI Code: 10.1285/i15900932v14n2p147

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