My motivation for this question is similar to the one in this question. However, that question only asks about the possibility of an infinite $\mathbb F_2$-vector space having trivial automorphism group. What other finite automorphism groups can occur? In particular, can $\mathbb Z/(3)$ occur? (see also this question for extra motivation).
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1Oh, man, that answer I wrote to that question was the basis for my masters thesis. – Asaf Karagila Mar 20 '24 at 23:29
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The question about $\mathbb{Z}/3\mathbb{Z}$ is answered (positively) by Andreas Blass in this MathOverflow answer.
Jeremy Rickard
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