| 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 |
