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December 2011 The additive group of the rationals does not have an automatic presentation
Todor Tsankov
J. Symbolic Logic 76(4): 1341-1351 (December 2011). DOI: 10.2178/jsl/1318338853

Abstract

We prove that the additive group of the rationals does not have an automatic presentation. The proof also applies to certain other abelian groups, for example, torsion-free groups that are p-divisible for infinitely many primes p, or groups of the form ⊕p ∈ I Z(p), where I is an infinite set of primes.

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Todor Tsankov. "The additive group of the rationals does not have an automatic presentation." J. Symbolic Logic 76 (4) 1341 - 1351, December 2011. https://doi.org/10.2178/jsl/1318338853

Information

Published: December 2011
First available in Project Euclid: 11 October 2011

zbMATH: 1247.03070
MathSciNet: MR2895399
Digital Object Identifier: 10.2178/jsl/1318338853

Rights: Copyright © 2011 Association for Symbolic Logic

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Vol.76 • No. 4 • December 2011
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