Difference Sets in Abelian 2-Groups

Authors

James A. Davis, University of RichmondFollow

DOI

10.1016/0097-3165(91)90050-Q

Abstract

Examples of difference sets are given for large classes of abelian groups of order 2^{2d + 2}. This fills in the gap of knowledge between Turyn's exponent condition and Dillon's rank condition. Specifically, it is shown thatℤ/(2^d)×ℤ/(2^d+2) andℤ/(2^d+1)×Z/(2^d+1) both admit difference sets, and these have many implications.

Document Type

Article

Publication Date

7-1991

Publisher Statement

Copyright © 1991, Elsevier. This article first appeared in Journal of Combinatorial Theory, Series A: 57:2 (1991), 262-286.

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Recommended Citation

Davis, James A. "Difference Sets in Abelian 2-Groups." Journal of Combinatorial Theory, Series A 57, no. 2 (July 1991): 262-86. doi: 10.1016/0097-3165(91)90050-Q.