Hadamard difference sets in nonabelian 2-groups with high exponent
An abelian group of order \(2^{2t +2}\) can contain a difference set only if the exponent of the group is at most \(2^{t +2}\). The paper describes a class of difference sets in nonabelian groups of order \(2^{4t +2}\) with exponent \(2^{3t +2}\). This generalizes a result by \textit{R. A. Liebler} and \textit{K. W. Smith} [On difference sets in certain 2-groups, Coding theory, design theory, group theory. 195-211 (1993)] for \(t=1\).
scientific article; zbMATH DE number 1115982
scientific article