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.

Bibliographic Details
Main Authors: Costantino Delizia, Chiara Nicotera
Format: Article
Language:English
Published: University of Isfahan 2023-03-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_26121_a8cf35139155ac9b06e596af2f15487a.pdf