paper

On p-adic Integers and The Adding Machine Group

arXiv:1007.0366

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*).

9 pages, 3 figure

References in corpus (1)

On p-adic Integers and The Adding Machine Group · wovepaper