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Additive Latin transversals and group rings

✍ 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

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πŸ“œ SIMILAR VOLUMES


Transversals of additive Latin squares
✍ Samit Dasgupta; Gyula KΓ‘rolyi; Oriol Serra; BalΓ‘zs Szegedy πŸ“‚ Article πŸ“… 2001 πŸ› The Hebrew University Magnes Press 🌐 English βš– 461 KB
Latin squares with restricted transversa
✍ Judith Egan; Ian M. Wanless πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 149 KB

## Abstract We prove that for all odd **__m__**β‰₯**3** there exists a latin square of order 3 **__m__** that contains an (**__m__**βˆ’**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 **_

Addition Theorems and Group Rings
✍ W.D. Gao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 375 KB

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