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8.79 (1982)

Open

Does there exist a countable infinite locally finite group $G$ that is complete, in the sense that $G$ has trivial centre and no outer automorphisms?

Contributor: B. Hartley

Progress

An uncountable one exists (K. K. Hickin, Trans. Amer. Math. Soc., 239 (1978), 213–227).

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