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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2018 / Cilt: 18 - Sayı: 3

Sums of Element Orders in Symmetric Groups

Simetrik Gruplarda Eleman Mertebelerinin Toplamları

Nil MANSUROĞLU
Pages
884–887
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

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

Our main aim is to investigate the sums of element ordersin symmetric groups and to give some properties of the sum of element orders in symmetric group.Moreover, we derive the formula for such sums.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In literature, there are many papers on the sums of element orders of finite groups.
📊
Key Findings & Data:In this study wedeal with the cases in symmetric groups.
💡
Conclusion & Impact:Our main aim is to investigate the sums of element ordersin symmetric groups and to give some properties of the sum of element orders in symmetric group.Moreover, we derive the formula for such sums.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In literature, there are many papers on the sums of element orders of finite groups. In this study wedeal with the cases in symmetric groups. Our main aim is to investigate the sums of element ordersin symmetric groups and to give some properties of the sum of element orders in symmetric group.Moreover, we derive the formula for such sums.

Özet

Literatürde sonlu grupların eleman mertebelerinin toplamı üzerine birçok çalışma yer almaktadır. Bu çalışmada simetrik gruplardaki durumlar üzerinde durulacaktır. Amacımız simetrik gruplarda eleman mertebelerinin toplamını incelemek ve simetrik gruplarda eleman mertebelerinin toplamlarının bazı özelliklerini vermektir. Ayrıca, bu toplamlar için bir formül üretmektir.

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Cite This Article

MANSUROĞLU, N. (2022). Sums of Element Orders in Symmetric Groups. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 18 - Sayı: 3, 884–887. https://ajindex.com/articles/429990

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References (6)

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