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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

Fundamental groups of quasi graphs of groups

R. M. S. MAHMOOD
Pages
137–149
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A graph is called a quasi graph if the possibility of an edge of the graph being equal to its inverse is not excluded.
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Key Findings & Data:Quasi HNN groups are a new generalizations of HNN groups.
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Conclusion & Impact:Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

A graph is called a quasi graph if the possibility of an edge of the graph being equal to its inverse is not excluded. Quasi HNN groups are a new generalizations of HNN groups. In this paper we introduce the concepts of a quasi graph of groups and its fundamental group, and show that the fundamental group of a quasi graph of groups is a quasi HNN group. The embedding theorem for the fundamental group of a quasi graph of groups is formulated and proved. Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.

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Cite This Article

MAHMOOD, R. M. S. (2022). Fundamental groups of quasi graphs of groups. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 137–149. https://ajindex.com/articles/530652

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References (6)

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