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arXiv · 1007.0366

On p-adic Integers and The Adding Machine Group

Bunyamin Demir·Mustafa Saltan
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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*).

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Bunyamin Demir, Mustafa Saltan. 2011-01-12. On p-adic Integers and The Adding Machine Group. https://arxiv.org/abs/1007.0366

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