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Abelian Difference Sets Without Self-conjugacy

โœ Scribed by K. T. Arasu; S. L. Ma

Book ID
110262088
Publisher
Springer
Year
1998
Tongue
English
Weight
86 KB
Volume
15
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES

On abelian difference sets
On abelian difference sets
โœ K. T. Arasu ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 171 KB
On reversible abelian Hadamard differenc
On reversible abelian Hadamard difference sets
โœ Qing Xiang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

It is shown that there does not exist a reversible abelian Hadamard di erence set in Z 2 2 ร— Z 2 9 or Z 2 4 ร—Z 2 3 . This settles the last two open cases for the existence of reversible (4N 2 ; 2N 2 -N; N 2 -N )abelian Hadamard di erence sets with N ยก10.

On non-Abelian group difference sets
On non-Abelian group difference sets
โœ Shuhong Gao; Wandi Wei ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 572 KB

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