Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/91551
 Title: On (p^a,p^b,p^a,p^{a-b})-relative difference sets Authors: Schmidt, Bernhard Keywords: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics Issue Date: 1996 Source: Schmidt, B. (1996). On (p^a,p^b,p^a,p^{a-b})-relative difference sets. Journal of algebraic combinatorics, 6(3), 279-297. Series/Report no.: Journal of algebraic combinatorics. 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. URI: https://hdl.handle.net/10356/91551http://hdl.handle.net/10220/6041 ISSN: 0925-9899 DOI: http://dx.doi.org/10.1023/A:1008674331764 Rights: Journal of algebraic combinatorics © copyright 1997 Springer U.S. The journal's website is located at http://www.springerlink.com/content/l2u667032704718h. Fulltext Permission: open Fulltext Availability: With Fulltext Appears in Collections: SPMS Journal Articles

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