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00925njm 22002777a 4500 dc Halevi, Yatir author Palacín Cruz, Daniel author 2019 An equation to compute the dp-rank of any abelian group is given. It is also shown that its dp-rank, or more generally that of any one-based group, agrees with its Vapnik–Chervonenkis density. Furthermore, strong abelian groups are characterised to be precisely those abelian groups A such that there are only finitely many primes p such that the group A/pA is infinite and for every prime p, there are only finitely many natural numbers n such that (p^n A)[p]/(p^{n + 1} A)[p] is infinite. Finally, it is shown that an infinite stable field of finite dp-rank is algebraically closed. Halevi, Y.; Palacín, D. THE DP-RANK OF ABELIAN GROUPS. The Journal of Symbolic Logic 2019, 84(3), 957–986. doi:10.1017/jsl.2018.89. 0022-4812 10.1017/jsl.2018.89 https://hdl.handle.net/20.500.14352/98555 https://doi.org/10.1017/jsl.2018.89 The dp-rank of abelian groups