On orthogonal orthomorphisms of cyclic and non-abelian groups. II

Anthony B. Evans

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On orthogonal orthomorphisms of cyclic and non-abelian groups. II

机译：关于循环群和非阿贝尔群的正交同态。 II

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We construct sets of three pairwise orthogonal orthomorphisms of Z3n, n not divisible by either 2 or 3, n ≠ 7, 17. Combined with results in the literature, this reduces the problem of determining for which v, there exist three pairwise orthogonal orthomorphisms of Zv to the case v = 9p, p > 3 a prime. This yields new lower bounds for the number of pairwise orthogonal orthomorphisms of classes of dihedral groups of doubly even order, and classes of linear groups. These results also find application in the construction of Z-cyclic triplewhist tournaments.

机译：我们构造了Z3n的三个成对正交正交态的集合，n不能被2或3整除，n≠7、17。结合文献中的结果，这减少了确定哪个v存在三个成对的正交正交态的问题。 Zv到v = 9p，p> 3为素数的情况。这产生了双偶数二面体组类别和线性组类别的成对正交正交同构数的新下界。这些结果也可用于构建Z循环三重锦标赛。

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《Journal of combinatorial designs》 |2007年第3期|共15页
作者
Anthony B. Evans;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
orthomorphisms; mols; non-abelian groups;

机译：同构;摩尔;非阿贝尔群;

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On orthogonal orthomorphisms of cyclic and non-abelian groups. II

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