A construction of a partial difference set in the extraspecial groups of order p3 with exponent p2.

A partial difference set S in a finite group G such that S = S^-1 and 1 ∉ S corresponds to an undirected strongly regular Cayley graph Cay(G,S). Very few examples of PDSs are known, and there are especially few known in nonabelian groups. In this paper, a partial difference set S with S = S^-1 and 1 ∉ S is constructed for each extraspecial group of order p³ and exponent p², where p is an odd prime. [ABSTRACT FROM AUTHOR]