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arXiv 0710.0044math.COmath.RT
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本原结合方案的模绝对界条件

A modular absolute bound condition for primitive association schemes

Akihide Hanaki, Ilia Ponomarenko

摘要:

著名的本原对称结合方案(X,S)的绝对有界条件给出了|X|关于|S|和方案的最小非主重数的上界.本文证明了任意本原格式(X,S)的|X|的另一个上界.它们不依赖于|S|,而是依赖于它的邻接代数KS的一些不变量,其中K是一个代数数域或一个有限域.

英文摘要:

The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an upper bound for |X| in terms of |S| and the minimal non-principal multiplicity of the scheme. In this paper we prove another upper bounds for |X| for an arbitrary primitive scheme (X,S). They do not depend on |S| but depend on some invariants of its adjacency algebra KS where K is an algebraic number field or a finite field.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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