Additive Latin transversals and group rings
β Scribed by W. D. Gao; D. J. Wang
- Publisher
- The Hebrew University Magnes Press
- Year
- 2004
- Tongue
- English
- Weight
- 198 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We prove that for all odd **__m__**β₯**3** there exists a latin square of order 3 **__m__** that contains an (**__m__**β**1**) Γ **__m__** latin subrectangle consisting of entries not in any transversal. We prove that for all even **__n__**β₯**10** there exists a latin square of order **_
We establish several addition theorems on finite abelian groups by employing a group ring as a useful tool. Among several results the following is proved. Let p be a prime, and let G=Z p e 1 } } } Z p e n with 1 e 1 } } } e n . Put w=(1Γ( p en &1)) \_ n i=1 ( p e i &1). Then, for any t ( p en &1) lo