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-homogeneous latin trades into abelian

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Nicholas J. Cavenagh

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-homogeneous latin trades into abelian

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-groups

Comment.Math.Univ.Carolinae 45,2 (2004) 191-212.

Abstract: LetT be a partial latin square andLbe a latin square withT ⊆L. We say thatT is a latin trade if there exists a partial latin squareT0 with T0∩T =∅ such that (L\T)∪T0 is a latin square. Ak-homogeneous latin trade is one which intersects each row, each column and each entry either 0 orktimes. In this paper, we show the existence of 3-homogeneous latin trades in abelian 2-groups.

Keywords: latin square, latin trade, abelian 2-group AMS Subject Classification: 05B15, 20N05

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