On infinite anticommutative groups

Document Type : Ischia Group Theory 2020/2021

Authors

1 Department of Mathematics, University of Salerno, Italy

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

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

Main Subjects


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Volume 12, Issue 1 - Serial Number 1
Proceedings of the Ischia Group Theory (2020/2021) - Part 1
March 2023
Pages 21-26
  • Receive Date: 01 September 2021
  • Revise Date: 19 November 2021
  • Accept Date: 23 November 2021
  • Published Online: 01 March 2023