On infinite anticommutative groups

We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subgroups are locally cyclic‎. ‎Moreover‎, ‎we prove that Engel groups with the above property are locally nilpotent‎.

کلیدواژه ها:

‎virtually soluble group ، locally cyclic group ، Engel group