Product graphs for given subgroups of the wreath product of two groups, II

AbstractFor any nontrivial finite groups F and G, any subgroup J of F, and any normal subgroup K of G, (J × G) · (1 wr K) is a subgroup of F wr G containing 1 × G (embedded in F wr G), where F wr G denotes the wreath product of G by F. It is shown by construction that there are graphs W and X with automorphism groups F and G, respectively, such that there is a graph product of W and X whose automorphism group is (J × G) · (1 wr K)