On groups factorizable in commuting almost locally normal subgroups

Abstract

We prove that an RN-group (in particular, locally solvable) G =G ₁ G ₂ ...G _n with G _i and π(G _i ) ∩ π(G _j ) = ⊘,i ≠j is a periodic hyper-Abelian group if the subgroupsG _j are almost locally normal.