On Self-Similar Subgroups in the Sense of IFS

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Saltan M.

Communications in Mathematics, cilt.26, sa.1, ss.1-10, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2478/cm-2018-0001
  • Dergi Adı: Communications in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-10
  • Anahtar Kelimeler: Cantor set, p-adic integers, Self-similar group
  • Anadolu Üniversitesi Adresli: Evet

Özet

© 2018 Mustafa Saltan, published by Sciendo.In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers p are strong self-similar in the sense of IFS.