On p-adic Integers and The Adding Machine Group
Group Theory
2011-01-13 v3
Abstract
In this paper, we define a natural metric on Aut(X*) and prove that the closure of the adding machine group, a subgroup of the automorphism group, is both isometric and isomorphic to the group of p-adic integers. So, we show that the group of p-adic integers can be isometrically embedded into the metric space Aut(X*).
Keywords
Cite
@article{arxiv.1007.0366,
title = {On p-adic Integers and The Adding Machine Group},
author = {Bunyamin Demir and Mustafa Saltan},
journal= {arXiv preprint arXiv:1007.0366},
year = {2011}
}
Comments
9 pages, 3 figure