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Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 1

On the structure offinite groupswit hthe given numbersofinvolutions

N. AHANJİDEH
M. Foroudi GHASEMABADI
Pages
15–22
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

AMSClassification: 20D06,20D20,20E45.

📌 3 Key Takeaways

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Objective & Hypothesis:Let G beafinitenon-solvablegroup.Inthispaper,weshowthatif1 / 8 ofelementsof G haveordertwo,then G iseitherasimplegroupisomorphicto PSL 2 ( q ) ,where q ∈{ 7 , 8 , 9 } or G ∼= GL2 (4).
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Key Findings & Data:Z2 .Infactinthispaper,weanswerProblem132in[1].
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Conclusion & Impact:AMSClassification: 20D06,20D20,20E45.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let G beafinitenon-solvablegroup.Inthispaper,weshowthatif1 / 8 ofelementsof G haveordertwo,then G iseitherasimplegroupisomorphicto PSL 2 ( q ) ,where q ∈{ 7 , 8 , 9 } or G ∼= GL2 (4). Z2 .Infactinthispaper,weanswerProblem132in[1]. AMSClassification: 20D06,20D20,20E45.

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Cite This Article

AHANJİDEH, N., GHASEMABADI, M. F. (2022). On the structure offinite groupswit hthe given numbersofinvolutions. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 15–22. https://ajindex.com/articles/530265

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References (1)

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