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2011-12-11
On the logical strength of the automorphism groups of free nilpotent groups
Vladimir Tolstykh
文献摘要
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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