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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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dc.contributor.author Schmidt, Bernhard.
dc.date.accessioned 2009-08-11T07:42:44Z
dc.date.available 2009-08-11T07:42:44Z
dc.date.copyright 1996
dc.date.issued 2009-08-11T07:42:44Z
dc.identifier.citation Schmidt, B. (1996). On (p^a,p^b,p^a,p^{a-b})-relative difference sets. Journal of algebraic combinatorics, 6(3), 279-297.
dc.identifier.issn 0925-9899
dc.identifier.uri http://hdl.handle.net/10220/6041
dc.description.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.
dc.format.extent 23 p.
dc.language.iso en
dc.relation.ispartofseries Journal of algebraic combinatorics.
dc.rights Journal of algebraic combinatorics © copyright 1997 Springer U.S. The journal's website is located at http://www.springerlink.com/content/l2u667032704718h.
dc.subject DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics.
dc.title On (p^a,p^b,p^a,p^{a-b})-relative difference sets.
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1023/A:1008674331764
dc.description.version Accepted version

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