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∗)
p−adic integers Adding machine Automorphism group p−ary rootedtree
Bölüm | Articles |
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Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2013 |
Gönderilme Tarihi | 4 Nisan 2015 |
Yayımlandığı Sayı | Yıl 2013 Cilt: 1 Sayı: 2 |