✦ LIBER ✦

On subsets of partial difference sets

✍ Scribed by S.L. Ma

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 496 KB
Volume: 125
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90167-8

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✦ Synopsis

Let G be a finite group of order v. A k-element subset D of G is called a (v, k, I, p)-partial difference set in G if the expressions gh-', for g and h in D with g # h, represent each nonidentity element contained in D exactly i times and represent each nonidentity element not contained in D exactly p times. Suppose G is abelian and H is a subgroup of G such that gcd (1 H I, 1 G 1 /I H I) = 1 and 1 G l/l H 1 is odd. In this paper, we show that if D is a partial difference set in G with {d-' I dE D} = D, then Dn H is a partial difference set in H.

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