A Note on Non-Abelian Planar Difference Sets
โ Scribed by Pott, Alexander
- Book ID
- 122240778
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 199 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Gao, S. and W. Wei, On non-Abelian group difference sets, Discrete Mathematics 112 (1993) 93-102. This paper is motivated by Bruck's paper (1955) in which he proved that the existence of cyclic projective plane of order n E 1 (mod 3) implies that of a nonplanar difference set of the same order by p
Let D be a (v, k, \*)-difference set in a group G. Assume that G has a normal subgroup N such that GรN is cyclic or nearly cyclic. Under the self-conjugacy assumption on exp(GรN), we shall give bounds on |N| and \*. The theorem is applicable to a wider variety of parameters for groups, not necessari