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Free two-step nilpotent groups whose automorphism group is complete

Vladimir Tolstykh
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Abstract

Dyer and Formanek (1976) proved that if N is a free nilpotent group of class two and of finite rank which is not equal to 1, or to 3, then the automorphism group Aut(N) of N is complete. The main result of the present paper states that the automorphism group of any infinitely generated free nilpotent group of class two is also complete.

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Vladimir Tolstykh. 2008-07-28. Free two-step nilpotent groups whose automorphism group is complete. https://arxiv.org/abs/math/0701751

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