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Finite automata presentable abelian groups
Authors:Andr   Nies,Pavel Semukhin
Affiliation:aDepartment of Computer Science, The University of Auckland, New Zealand;bDepartment of Mathematics, National University of Singapore, Singapore
Abstract:
We give new examples of FA presentable torsion-free abelian groups. Namely, for every ngreater-or-equal, slanted2, we construct a rank n indecomposable torsion-free abelian group which has an FA presentation. We also construct an FA presentation of the group View the MathML source in which every nontrivial cyclic subgroup is not FA recognizable.
Keywords:Automatic structures   Torsion-free abelian groups
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