Kraemer has shown that every abelian group of order 22d+ 2 with exponent less than 22d+ 3 has a difference set. Generalizing this result, we show that any nonabelian group with a central subgroup of size 2d+ 1 together with an exponent-like condition will have a difference set.
Copyright © 1992, Elsevier. This article first appeared in Journal of Combinatorial Theory, Series A: 59:2 (1992), 187-192.
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Davis, James A. "A Generalization of Kraemer's Result on Difference Sets." Journal of Combinatorial Theory, Series A 59, no. 2 (March 1992): 187-192. doi:10.1016/0097-3165(92)90064-2.