Nonexistence of certain supplementary difference sets

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This paper finds restrictions on the parameters of supplementary difference sets in any group G with a subgroup of index 2, which therefore includes all cyclic groups of even orders. As a corollary to the main theorem, we have that if S1, …, Sr are r − {2v, k1, …, kr; 2λ} supplementary difference sets in such a group, then not all of v, k1, …, kr, λ are odd; also [formula omitted] is the sum of r squares.

Original languageEnglish
Pages (from-to)343-348
Number of pages6
JournalBulletin of the Australian Mathematical Society
Issue number3
Publication statusPublished - 1975
Externally publishedYes

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