👉 In mathematics, a cotery is a group that has an identity element and inverses for every element. This means that it has no non-trivial proper subgroups (i.e., subgroups that contain more than one element) and hence does not have any elements with finite order (since the order of any finite subgroup must divide the order of the entire group). A cotery is also known as a cyclic group, since every element in such a group can be generated by only one other element
