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A note on the equation θ̄gq = n + λΣ

✍ Scribed by Shalom Eliahou; Michel Kervaire

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
565 KB
Volume
62
Category
Article
ISSN
0378-3758

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✦ Synopsis

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 order 8 are studied in detail.

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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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