Free two-step nilpotent groups whose automorphism group is complete

Details Free two-step nilpotent groups whose automorphism group is complete Free two-step nilpotent groups whose automorphism group is complete

2007-01-25

arxiv.org/abs/math/0701751v2

Mathematics

Group Theory

A pre-publication preprint of a paper published in `2001

Scientific paper

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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