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 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 in which every nontrivial cyclic subgroup is not FA recognizable. |
| |
Keywords: | Automatic structures Torsion-free abelian groups |
本文献已被 ScienceDirect 等数据库收录! |
|