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Compressible difference lists an appendix to ‘a note on the equation θ̄gq = n + λΣ’

✍ Scribed by Alain Eckmann; Shalom Eliahou; Michel Kervaire

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 198 KB
Volume: 62
Category: Article
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(96)00163-2

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✦ Synopsis

A difference list 0 on a finite group G is called compressed if 0(~ is an integer, and it is called compressible if 0 + a. G is compressed for some integer a. We discuss the compressibility property, mostly for difference lists on cyclic groups.

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A note on the equation θ̄gq = n + λΣ

✍ Shalom Eliahou; Michel Kervaire 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 565 KB

Let 0 be a cyclic difference list. We prove two theorems on the p-divisibility of the parameters of 0, where p is a prime number. The second result concerns p -2 and extends to cyclic difference lists a well known result of Turyn for cyclic difference sets. Difference lists on the cyclic group of or