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On multipliers of partial addition sets

✍ Scribed by Dina Ghinelli; Stefan Löwe

Book ID
104653434
Publisher
Springer
Year
1991
Tongue
English
Weight
246 KB
Volume
40
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis

Let G be a finite group not necessarily abelian. We prove a multiplier theorem for a normal partial addition set in G (i.e. a partial addition set which is a union of conjugacy classes).

* The second author gratefully acknowledges the financial support by the CNR which made this work possible.

i The reader might be warned that other authors do not require D to be normal. In this paper, however, we do not give any result in the more general case. 2 If we drop normality in the definition of D, then D is independent of the choice of x o up to conjugation.

📜 SIMILAR VOLUMES

On subsets of partial difference sets
On subsets of partial difference sets
✍ S.L. Ma 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 496 KB

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