✦ LIBER ✦

Semi-regular relative difference sets with large forbidden subgroups

✍ Scribed by Tao Feng; Qing Xiang

Book ID: 108167245
Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 282 KB
Volume: 115
Category: Article
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2008.02.003

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Constructions of Semi-regular Relative D

Constructions of Semi-regular Relative Difference Sets

✍ Ka Hin Leung; San Ling; Siu Lun Ma 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 358 KB

gave two new constructions for semi-regular relative di!erence sets (RDSs). They asked if the two constructions could be uni"ed. In this paper, we show that the two constructions are closely related. In fact, the second construction should be viewed as an extension of the "rst. Furthermore, we gener

New Families of Semi-Regular Relative Di

New Families of Semi-Regular Relative Difference Sets

✍ James A. Davis; Jonathan Jedwab; Miranda Mowbray 📂 Article 📅 1998 🏛 Springer 🌐 English ⚖ 147 KB

Twisted product of cocycles and factoriz

Twisted product of cocycles and factorization of semi-regular relative difference sets

✍ Yu Qing Chen 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

## Abstract In this article, we introduce what we call twisted Kronecker products of cocycles of finite groups and show that the twisted Kronecker product of two cocycles is a Hadamard cocycle if and only if the two cocycles themselves are Hadamard cocycles. This enables us to generalize some known

Relative difference sets in semidirect p

Relative difference sets in semidirect products with an amalgamated subgroup

✍ John C. Galati; Alain C. LeBel 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB

## Abstract We call a group __G__ with subgroups __G__~1~, __G__~2~ such that __G__ = __G__~1~__G__~2~ and both __N__ = __G__~1~ ∩ __G__~2~ and __G__~1~ are normal in __G__ a semidirect product with amalgamated subgroup __N__. We show that if __G__~l~ is a group with __N__~l~ ⊲ __G__~l~ containing

Cocyclic Orthogonal Designs and the Asym

Cocyclic Orthogonal Designs and the Asymptotic Existence of Cocyclic Hadamard Matrices and Maximal Size Relative Difference Sets with Forbidden Subgroup of Size 2

✍ Warwick de Launey; Michael J. Smith 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 477 KB

This paper contains a discussion of cocyclic Hadamard matrices, their associated relative difference sets, and regular group actions. Nearly all central extensions of the elementary abelian 2-groups by Z 2 are shown to act regularly on the associated group divisible design of the Sylvester Hadamard