Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.apal.2009.07.006
Title: Finite automata presentable abelian groups
Authors: Nies, A.
Semukhin, P. 
Keywords: Automatic structures
Torsion-free abelian groups
Issue Date: Dec-2009
Citation: Nies, A., Semukhin, P. (2009-12). Finite automata presentable abelian groups. Annals of Pure and Applied Logic 161 (3) : 458-467. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apal.2009.07.006
Abstract: We give new examples of FA presentable torsion-free abelian groups. Namely, for every n ≥ 2, we construct a rank n indecomposable torsion-free abelian group which has an FA presentation. We also construct an FA presentation of the group (Z, +)2 in which every nontrivial cyclic subgroup is not FA recognizable. © 2009 Elsevier B.V. All rights reserved.
Source Title: Annals of Pure and Applied Logic
URI: http://scholarbank.nus.edu.sg/handle/10635/103269
ISSN: 01680072
DOI: 10.1016/j.apal.2009.07.006
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