A Generalization of Kraemer's Result on Difference Sets

Authors

James A. Davis, University of RichmondFollow

DOI

10.1016/0097-3165(92)90064-2

Abstract

Kraemer has shown that every abelian group of order 2^{2d+ 2} with exponent less than 2^{2d+ 3} has a difference set. Generalizing this result, we show that any nonabelian group with a central subgroup of size 2^{d+ 1} together with an exponent-like condition will have a difference set.

Document Type

Article

Publication Date

3-1992

Publisher Statement

Copyright © 1992, Elsevier. This article first appeared in Journal of Combinatorial Theory, Series A: 59:2 (1992), 187-192.

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Recommended Citation

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.