On infinite anticommutative groups

نویسندگان
Delizia, Costantino ID 1
Nicotera, Chiara ID 2

1 Department of Mathematics, University of Salerno, Italy

2 Department of Mathematics - University of Salerno - Via Giovanni Paolo II, 132 - 84084 - Fisciano (SA) ITALY

doi
10.22108/ijgt.2021.130377.1739
چکیده

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.

کلیدواژه‌ها
‎virtually soluble group, locally cyclic group, Engel group