Small doubling in $m$-Engel groups

Document Type : Proceedings of the conference "Engel conditions in groups" - Bath - UK - 2019

Authors

1 Department of Mathematics, University of Salerno

2 University of Salerno

Abstract

We study some inverse problems of small doubling type in the class of $m$-Engel groups‎. ‎In particular we investigate the structure of a finite subset $S$ of a torsion-free $m$-Engel group if $|S^2| = 2|S|+b$‎, ‎where $0 \leq b \leq |S|-4$‎, ‎for some values of $b$‎.

Keywords

Main Subjects


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Volume 9, Issue 4 - Serial Number 4
Proceedings of the conference "Engel conditions in groups"- Bath-UK-2019
December 2020
Pages 277-291
  • Receive Date: 15 January 2020
  • Revise Date: 23 March 2020
  • Accept Date: 25 March 2020
  • Published Online: 01 December 2020