✦ LIBER ✦

On Sylow Subgroups of Abelian Affine Difference Sets

✍ Scribed by Agnes V. Dizon-Garciano; Yutaka Hiramine

Book ID: 110261818
Publisher: Springer
Year: 2001
Tongue: English
Weight: 47 KB
Volume: 22
Category: Article
ISSN: 0925-1022
DOI: 10.1023/a:1008312921730

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On groups with abelian Sylow 2-subgroups

✍ Helmut Bender 📂 Article 📅 1970 🏛 Springer-Verlag 🌐 French ⚖ 710 KB

On abelian difference sets

✍ K. T. Arasu 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 171 KB

On groups of even order with an abelian

On groups of even order with an abelian 2-Sylow subgroup

✍ Richard Brauer 📂 Article 📅 1962 🏛 Springer 🌐 English ⚖ 283 KB

A note on affine difference sets

✍ Dieter Jungnickel 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 73 KB

On reversible abelian Hadamard differenc

On reversible abelian Hadamard difference sets

✍ Qing Xiang 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 97 KB

It is shown that there does not exist a reversible abelian Hadamard di erence set in Z 2 2 × Z 2 9 or Z 2 4 ×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 ¡10.

On non-Abelian group difference sets

✍ Shuhong Gao; Wandi Wei 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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