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Feb 27, 2023 at 9:07 comment added The Amplitwist The link to springerlink.com in the comment above is broken, but it should point to the following one: Freiman, G. A., On two- and three-element subsets of groups, Aequationes Math. 22, 140–152 (1981). Zbl 0489.20020.
Oct 13, 2011 at 8:16 comment added Gjergji Zaimi +1. I just found out that the nonabelian groups that satisfy this for $m=n=2$ are exactly $Q_8\times G$ for $G$ an elementary abelian 2-group. springerlink.com/content/3040n1420586v676
Oct 13, 2011 at 7:54 history answered S. Carnahan CC BY-SA 3.0