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Journals / Konuralp Journal of Mathematics / 2013 / Volume: 1 Issue: 2

THE RELATION BETWEEN ADDING MACHINE AND p−ADIC INTEGERS

Mustafa Saltan
Pages
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Publication Date
2013-12-01
DOI
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AI Summary & Key Takeaways

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

This also shows that the group of p−adic integers can beisometrically embedded into the metric space Aut(X∗)

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we equip Aut(X) with a natural metric and givean elementary proof that the closure of the adding machine group, a subgroupof the automorphism group, is both isometric and isomorphic to the group ofp−adic integers.
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Key Findings & Data:In this paper, we equip Aut(X) with a natural metric and givean elementary proof that the closure of the adding machine group, a subgroupof the automorphism group, is both isometric and isomorphic to the group ofp−adic integers.
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Conclusion & Impact:This also shows that the group of p−adic integers can beisometrically embedded into the metric space Aut(X∗)
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:p−adic integers · Adding machine · Automorphism group

Abstract

In this paper, we equip Aut(X) with a natural metric and givean elementary proof that the closure of the adding machine group, a subgroupof the automorphism group, is both isometric and isomorphic to the group ofp−adic integers. This also shows that the group of p−adic integers can beisometrically embedded into the metric space Aut(X∗)

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Cite This Article

Saltan, M. (2013). THE RELATION BETWEEN ADDING MACHINE AND p−ADIC INTEGERS. Konuralp Journal of Mathematics, Volume: 1 Issue: 2. https://ajindex.com/articles/1521987

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References (10)

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