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Journals / International Electronic Journal of Algebra / 2023 / Cilt: 34 Sayı: 34

A note on Friendly and Solitary Groups

Shubham MITTAL
Gaurav MITTAL
R. K. SHARMA
Pages
197–206
Publication Date
2023-07-10
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Group · $p$-group · number theory

Abstract

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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Cite This Article

MITTAL, S., MITTAL, G., SHARMA, R. K. (2023). A note on Friendly and Solitary Groups. International Electronic Journal of Algebra, Cilt: 34 Sayı: 34, 197–206. https://ajindex.com/articles/953324

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