具有特定类型p-子方案的关联方案

Ars Math. Contemp. Pub Date : 2020-11-02 DOI:10.26493/1855-3974.2034.dad

Wasim Abbas, M. Hirasaka

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摘要

在这个文章,我们专注在协会计划能与一些财产之orbitals derived from a transitive permutation集团G和H a one-point稳定器令人满意G H < N (H) < N G G (N (H)⊴G和G | N (N G p (H) | = p 3哪里是一个撇号。By a corollary of our玩》的论点我们得到一些不平等哪种corresponds的| G G: N (N G (H) |≤p + 1。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Association schemes with a certain type of p-subschemes

In this article, we focus on association schemes with some properties derived from the orbitals of a transitive permutation group G with a one-point stabilizer H satisfying H < N G ( H ) < N G ( N G ( H )) ⊴ G and | N G ( N G ( H ))| = p 3 where p is a prime. By a corollary of our main result we obtain some inequality which corresponds to the fact | G : N G ( N G ( H ))| ≤ p + 1 .

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Ars Math. Contemp.

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