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Autocenral series and n-autoisoclinism of groups
Indian Journal of Pure and Applied Mathematics ( IF 0.7 ) Pub Date : 2023-12-15 , DOI: 10.1007/s13226-023-00512-0
Zohreh Sepehrizadeh , Mohammad Reza Rismanchian

In 1976 Bioch introduced the concept of n-isoclinism of groups. Using the definition of absolute centre and autocommutator subgroup of a group introduced by Hegarty, the notion of autoisoclinism has been studied in the recent years. In this article we first derive some results from definition of Hegarty. Then we introduce the concept of n-autoisoclinism, and obtain some basic results similar to n-isoclinism.



中文翻译:


群的自中心级数和 n-自等斜



1976年Bioch提出了群n-等斜的概念。近年来,利用Hegarty引入的群的绝对中心和自换子子群的定义,自等斜的概念得到了研究。在这篇文章中,我们首先从赫加蒂的定义中得出一些结果。然后我们引入了n-自等斜的概念,并得到了一些类似于n-等斜的基本结果。

更新日期:2023-12-15
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