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Oct 13, 2018 at 13:15 vote accept Taras Banakh
Oct 13, 2018 at 11:14 comment added YCor If $G$ has exponent 3 and $A=\{1,a\}$ has cardinal 2, then the injectivity of the sum map $A\times B\to G$ implies its injectivity on $\{1,a,a^2\}\times B$. This yields many further counterexamples.
Oct 13, 2018 at 10:45 history edited Martin Sleziak CC BY-SA 4.0
minor typo
Oct 13, 2018 at 10:36 answer added Jeremy Rickard timeline score: 8
Oct 13, 2018 at 10:14 history asked Taras Banakh CC BY-SA 4.0