noncommutative ring

This paper studies the relationship between its noncommuting graph (G)and its structure.

研究固定阶非交换群G的非交换图和其结构之间的一些联系,得到了:命题1若(G)≌(S4),则G≌S4。

In this paper, we study the noncommuting graph (G) associated with a finite group G and prove that:Theorem 1 Let p be a prime.

研究有限群G的非交换图(G),证明了:定理1若(G)■(D4p),p为素数,则G■D4p或G■Q4p。

In this paper, we investigate some basic properties of the noncommuting graph associated with a finite group and their effects on the structure of the group.

本文主要研究了有限群的非交换图的一些基本性质及其对群结构的影响。

Let G be a non-abelian group and associate a non-commuting graph ▽(G) with G as follows:the vertex set of ▽(G) is G\Z(G) with two vertices x and y joined by an edge whenever the commutator of x and y is not the identity.

令G是一个有限群,其非交换图▽(G)如下定义:顶点集合▽(G)是G\Z(G),当两条边x与y的换位子不等于单位元时x与y相连。

The kinectics characteristics of the nonexchangeable potassium release from the soil in Shaanxi is investigated with the Hsaturated resin absorbing method.

采用Ｈ饱和树脂吸收法研究了陕西６种土壤非交换钾释放的动力学性质。