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)

• 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
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• 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.