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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 1

Crossed product of infinite groups and complete rewriting systems

Eylem GÜZEL KARPUZ
Esra KIRMIZI ÇETİNALP
Pages
410–422
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

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

Hence, we present normal form structure of elements of crossed product of infinite groups which yield solvability of the word problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to obtain a presentation for crossed product of some infinite groups and then find its complete rewriting system.
📊
Key Findings & Data:The aim of this paper is to obtain a presentation for crossed product of some infinite groups and then find its complete rewriting system.
💡
Conclusion & Impact:Hence, we present normal form structure of elements of crossed product of infinite groups which yield solvability of the word problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is to obtain a presentation for crossed product of some infinite groups and then find its complete rewriting system. Hence, we present normal form structure of elements of crossed product of infinite groups which yield solvability of the word problem.

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Cite This Article

KARPUZ, E. G., ÇETİNALP, E. K. (2022). Crossed product of infinite groups and complete rewriting systems. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 1, 410–422. https://ajindex.com/articles/607410

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