On (p^a,p^b,p^a,p^{a-b})-relative difference sets.

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On (p^a,p^b,p^a,p^{a-b})-relative difference sets.

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Title: On (p^a,p^b,p^a,p^{a-b})-relative difference sets.
Author: Schmidt, Bernhard.
Copyright year: 1996
Abstract: This paper provides new exponent and rank conditions for the existence of abelian relative (p^a,p^b,p^a,p^a-b) -difference sets. It is also shown that no splitting relative (2^2c,2^d,2^2c,2^2c-d)-difference set exists if d > c and the forbidden subgroup is abelian. Furthermore, abelian relative (16, 4, 16, 4)-difference sets are studied in detail; in particular, it is shown that a relative (16, 4, 16, 4)-difference set in an abelian group G\not\cong Z_8\times Z_4\times Z_2 exists if and only if \exp(G)\le 4 or G= Z_8\times ( Z_2)^3 with N\cong Z_2\times Z_2.
Subject: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics.
Type: Journal Article
Series/ Journal Title: Journal of algebraic combinatorics.
School: School of Physical and Mathematical Sciences
Rights: Journal of algebraic combinatorics © copyright 1997 Springer U.S. The journal's website is located at http://www.springerlink.com/content/l2u667032704718h.
Version: Accepted version

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