Relative difference sets fixed by inversion (ii)—character theoretical approach

In this paper, we continue our investigation of relative difference sets fixed by inversion. We exclusively focus our attention on abelian groups. New necessary conditions are obtained and a new family of such relative difference sets with forbidden subgroup Z / 4 Z is constructed. The methods we us...

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Bibliographic Details
Published in:Journal of combinatorial theory. Series A 2005-08, Vol.111 (2), p.175-189
Main Authors: Liu, Wei-Hung, Chen, Yu Qing, Horadam, K.J.
Format: Article
Language:English
Subjects:
Forbidden subgroup [formula omitted]
Perfect quaternary array
Relative difference set
Reversible relative difference set
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Summary:In this paper, we continue our investigation of relative difference sets fixed by inversion. We exclusively focus our attention on abelian groups. New necessary conditions are obtained and a new family of such relative difference sets with forbidden subgroup Z / 4 Z is constructed. The methods we use are character theory of abelian groups and Galois rings over Z / 4 Z .
ISSN:0097-3165
1096-0899
DOI:10.1016/j.jcta.2004.09.008