- Konuralp Journal of Mathematics
- Vol: 1 Issue: 2
- THE RELATION BETWEEN ADDING MACHINE AND p−ADIC INTEGERS
THE RELATION BETWEEN ADDING MACHINE AND p−ADIC INTEGERS
Authors : Mustafa Saltan
Pages : 41-49
View : 12 | Download : 8
Publication Date : 2013-12-01
Article Type : Other
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∗)Keywords : p−adic integers, Adding machine, Automorphism group, p−ary rootedtree