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arXiv math/0401239math.COmath.GR
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差分法与费列罗对

Difference Methods and Ferrero Pairs

Tim Boykett, Peter Mayr

摘要:

本文给出了一种由有限群G和G上的自同构群Φ构造BIB-design的方法,使得|Φ(x)| = |Φ|对于G中的所有x,x <> 0。利用差族概念的推广,我们可以统一几个以前的平面近环的BIB-designs的构造。

英文摘要:

We present a construction method of BIB-designs from a finite group G and a group of automorphisms Φon G such that |Φ(x)| = |Φ| for all x in G, x <> 0. By using a generalization of the concept of a difference family we can so unify several previous constructions of BIB-designs from planar near-rings.

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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