The Prime Power Conjecture asserts that the order of an affine difference set is an integral power of a prime number. K.T. Arasu and D. Jungnickel have shown that if the order of an affine difference set is even, then the order is either two or four or is divisible by eight. This paper extends this
A multiplier theorem for projections of affine difference sets
β Scribed by Alexander Pott; Dirk Reuschling; Bernhard Schmidt
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 253 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
β¦ Synopsis
It is shown that every abelian relative (m,n,m -1,(m 2 )/n )-difference set admits m 1 as a multiplier.
1. Relative difference sets and multipliers
A relative (m, n, k, ).)-difference set in a finite group G of order mn relative to a * Corresponding author.
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