论文标题

在一些$ p $传递的协会方案上

On some $p$-transitive association schemes

论文作者

Jiang, Yu

论文摘要

在本文中,对于任何主要$ p $,我们提出了$ p $传播协会计划的概念。该概念旨在概括一个事实,即有限组的组代数的常规模块对模块化邻接代数的常规模块的情况具有独特的微不足道subsodule。我们完全确定了$ p $传递的准纯协会方案和$ p $传播的关联方案,其结构理论属性具有薄薄的残留物。

In this paper, for any prime $p$, we propose the notion of a $p$-transitive association scheme. This notion aims to generalize the fact that the regular module of a group algebra of a finite group has a unique trivial submodule to the case of the regular modules of modular adjacency algebras. We completely determine the $p$-transitive quasi-thin association schemes and the $p$-transitive association schemes with thin thin residue by their structure theory properties.

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