On Self-Similar Subgroups in the Sense of IFS

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Saltan M.

Communications in Mathematics, vol.26, no.1, pp.1-10, 2018 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.2478/cm-2018-0001
  • Journal Name: Communications in Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-10
  • Keywords: Cantor set, p-adic integers, Self-similar group
  • Anadolu University Affiliated: Yes

Abstract

© 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.