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A new result on difference sets with -1 as multiplier

✍ Scribed by Dina Ghinelli Smit

Publisher: Springer
Year: 1987
Tongue: English
Weight: 275 KB
Volume: 23
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181315

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✦ Synopsis

In this paper we study finite abelian groups admitting a d~fference set with multiplier -1. In these groups we have that each integer, which is relatively prime to the group order, is a multiplier (see and Section I of this paper).

About the arithmetical structure, there is an interesting result of Jungnickel 1-3] on primes dividing the order n of the corresponding design. Here we prove (see Theorem 2.1) that each odd prime divisor of the order v of the group divides n. The proof of Theorem 2.1 rests on character computations and is motivated by .

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