Title of article :
On infinite anticommutative groups
Author/Authors :
Delizia ، Costantino Department of Mathematics - University of Salerno , Nicotera ، Chiara Department of Mathematics - University of Salerno
Abstract :
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.
Keywords :
locally cyclic group , Engel group , virtually soluble group
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
