%0 Journal Article %T Arithmetic Sets in Groups %A Azer Akhmedov %A Damiano Fulghesu %J Mathematics %D 2014 %I arXiv %X We define a notion of an arithmetic set in an arbitrary countable group and study properties of these sets in the cases of Abelian groups and non-abelian free groups. %U http://arxiv.org/abs/1412.0308v1