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.
On multiplier theorems of relative quotient sets
✍ Scribed by Stefan Löwe
- Book ID
- 112501551
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 246 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
VE I) be a family of such intervals. For NE I let V(N) be the chromatic number of the intersection graph 0; (A,,: Y E N), Theorem 1. Zf I is finite and A,, f1.4,,#0 for CL, YE I, tlren n,,, A# 6 Theorem 2. Let k IX a positiw integer and x(N) G k for INI = k + 1. Then x(Z) c k. XlleOrean 3. There is
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