KaydedilenlerDerginizi ekleyin

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

THE RELATION BETWEEN ADDING MACHINE AND p−ADIC INTEGERS

Mustafa Saltan
Sayfa
—
Yayın Tarihi
2013-12-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:This also shows that the group of p−adic integers can beisometrically embedded into the metric space Aut(X∗)
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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∗)

🔖

Bu Makaleye Atıf Yap

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

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. G. N. Arzhantseva and Z. Sunic, Construction of elements in the closure of Grigorchuk group, arXiv:math/0607778v2.
  2. L. Bartholdi, R. Grigorchuk and V. Nekrashevych, From Fractal Groups to Fractal Sets, Fractals in Graz, (Peter Grabner and Wolfgang Woess, eds.), Birkh¨euser Verlag, Basel, (2003), 25-118.
  3. H. Bass, M.V. Otera-Espinar, D. Rockmore and C. Tresser, Cyclic Renormalition and Auto- morphism Groups and Rooted Trees, Lecture Notes in Math., Springer-Verlag, Berlin, 1996.
  4. F. Q. Gouvˆea, p−adic Numbers, Springer-Verlag, Berlin, 1997.
  5. R. Grigorchuk, V.V. Nekrashevich and V.I. Sushchanskii, Automata, Dynamical systems and infinite groups, Proc. Steklov Inst. Math., 231 (2000), 134–214.
  6. J. E. Holly, Pictures of Ultrametric Spaces, the p−adic numbers, and valued fields, Amer. Math. Monthly, 108 (2001), 721–728.
  7. V. Nekrashevych, Self-similar Groups, Mathematical Surveys and Monographs, Amer. Math. Soc., Providence, RI, 117, 2005.
  8. A. M. Robert, A Course in p−adic Analysis, Springer, 2000.
  9. W. H. Schikhof, Ultrametric Calculus an Introduction to p−adic Calculus, Cambridge Uni- versity Press, New York, 1984.
  10. Anadolu University, Faculty of Science, Department of Mathematics, Eskis¸ehir- TURKEY