Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 4

On Groups with the Weak Wide Commensurable Property

Pages
403–412
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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

Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear.
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Key Findings & Data:We also investigate the properties of infinite non-abelian groups with the weak wide commensurable property.
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Conclusion & Impact:Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2005) · 403-412. Full text: pdf Other articles published in the same issue: Turk. J. Math.

Abstract

An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear. We also investigate the properties of infinite non-abelian groups with the weak wide commensurable property. Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).

Özet

An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear. We also investigate the properties of infinite non-abelian groups with the weak wide commensurable property. Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).

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Cite This Article

KUZUCUOĞLU, M., ÖZYURT, E., BERKMAN, A. (2022). On Groups with the Weak Wide Commensurable Property. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 4, 403–412. https://ajindex.com/articles/608726

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