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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group $D_{2n}$ and the translation group T (2).
📌 3 Key Takeaways
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Objective & Hypothesis:In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group $D_{2n}$ and the translation group T (2).
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Key Findings & Data:In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group $D_{2n}$ and the translation group T (2).
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Conclusion & Impact:In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group $D_{2n}$ and the translation group T (2).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this work, we introduce a family of distance functions and show that the group of isometries of the plane associated with the induced metrics is the semi-direct product of the Dihedral group $D_{2n}$ and the translation group T (2).
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Cite This Article
KAYA, R., BAYAR, A. (2022). On isometries of $Bbb{R}^2_{pi dot n}$. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 5, 673–679. https://ajindex.com/articles/530591