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中文摘要：
该文给出了直接从定义关系出发求有限群Cayley有向图的一种简捷方法，此方法找到了解决问题的关键和本源。同时给出了两个应用性较强的两个本源定理，利用此两个本源定理给出了阶为6p^2群和阶为2^3 3^2群Cayley有向图．
英文摘要：
In this paper, a concise method of directed Cayley graphs based on definition is proposed. It is the key to solve the problems. Two original theorems which can be used widely are also presented. Based on these theorem, finite Cayley graphs of groups with degrees of 6p2 and 2332 are obtained.
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