id author title date pages extension mime words sentence flesch summary cache txt k3569309463 Somayeh Vojdani On Presburger Arithmetic, Nonstandard Finite Cyclic Groups, and Definable Compactifications 1904 .txt text/plain 236 11 52 We consider nonstandard analogues of finite cyclic groups as a family of groups defined in an elementary extension of Presburger arithmetic. We show that the torsion-free divisible abelian group is densely ordered and we find the number of non-isomorphic expansions of the profinite group to a model of Presburger arithmetic. cache/k3569309463.txt txt/k3569309463.txt