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On the lattice of normal subgroups of a direct product

On the lattice of normal subgroups of a direct product

Suzuki has determined that if G is a direct product G = Π^jG, of groups G t ^ 1, then the lattice L(G) of subgroups of G is the direct product of the lattices L(Gi) if and only if the order of any element in G, is finite and relatively …