On the non-existence of semiregular relative difference sets in groups with all sylow subgroups cyclic
We show that a group with all Sylow subgroups cyclic (other than Z(4)) cannot contain a normal semiregular relative difference set (RDSs). We also give a new proof that dihedral groups cannot contain (normal) semiregular RDSs either.
relative difference set group with all sylow subgroups cyclic dihedral group non-abelian relative difference set