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On non-Abelian group difference sets

✍ Scribed by Shuhong Gao; Wandi Wei

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 572 KB
Volume: 112
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90226-j

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✦ Synopsis

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 proving that such a cyclic projective plane admits a regular non-Abelian automorphism group using n as a multiplier. In this paper we will discuss in detail the possibility of using multipliers to construct more non-Abelian difference sets from known difference sets, especially from cyclic ones. The existence of several infinite families of non-Abelian group different sets will be established.

a multiplier, though technically we should say GI, is a multiplier.

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