论文标题
Camina Triples的Frobenius组类似物
A Frobenius group analog for Camina triples
论文作者
论文摘要
Frobenius群体是有限群体理论中基本重要性的对象。因此，已经考虑了这些群体的几种概括。一些示例包括：frobenius-wielandt Group是一个三重$（g，h，l）$，其中$ h/l $是{\ it几乎} frobenius for $ g $; Camina对是一对$（g，n）$，其中$ n $是{\ it几乎} frobenius内核，$ g $; Camina Triple是三重$（g，n，m）$，其中$（g，n）$和$（g，m）$是{\ it几乎} camina Pairs。在本文中，我们研究$（g，n）$和$（g，m）$的三倍（g，n，m）$是{\ it几乎} frobenius groups。
Frobenius groups are an object of fundamental importance in finite group theory. As such, several generalizations of these groups have been considered. Some examples include: A Frobenius--Wielandt group is a triple $(G,H,L)$ where $H/L$ is {\it almost} a Frobenius complement for $G$; A Camina pair is a pair $(G,N)$ where $N$ is {\it almost} a Frobenius kernel for $G$; A Camina triple is a triple $(G,N,M)$ where $(G,N)$ and $(G,M)$ are {\it almost} Camina pairs. In this paper we study triples $(G,N,M)$ where $(G,N)$ and $(G,M)$ are {\it almost} Frobenius groups.
