关于友好群和孤立群的一个注记

IF 0.5 Q3 MATHEMATICS International Electronic Journal of Algebra Pub Date : 2023-03-05 DOI:10.24330/ieja.1260499

Shubham Mittal, Gaurav Mittal, R. K. Sharma

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引用次数: 0

摘要

在本文中，我们将友好和孤立数的概念推广到群论中，并定义了类型1和类型2的友好和孤立群。我们提供了许多友好群和孤立群的例子，并研究了循环$p$-群的2型友的某些性质，其中$p$是素数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on Friendly and Solitary Groups

In this paper, we extend the notions of friendly and solitary numbers to group theory and define friendly and solitary groups of type-1 and type-2. We provide many examples of friendly and solitary groups and study certain properties of the type-2 friends of cyclic $p$-groups, where $p$ is a prime number.

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.

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