On the logical strength of the automorphism groups of free nilpotent groups

Details On the logical strength of the automorphism groups of free nilpotent groups On the logical strength of the automorphism groups of free nilpotent groups

2011-12-11

arxiv.org/abs/1112.2369v1

Mathematics

Logic

A prepublication preprint of a `2005 article

Scientific paper

Considering a particular case of a problem posed by Saharon Shelah, we prove
that the automorphism group of an infinitely generated free nilpotent group N
first-order interprets the full second-order theory of the set rank(N) in the
empty language.

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