# Small doubling in $m$-Engel groups

Document Type: Research Paper

Authors

1 Department of Mathematics, University of Salerno

2 University of Salerno

10.22108/ijgt.2020.121125.1595

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 $b$‎.

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