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math.LO2007
What does the automorphism group of a free abelian group A know about A?
Vladimir Tolstykh
Let be an infinitely generated free abelian group. We prove that the automorphism group $\aut A$ first-order interprets the full second-order theory of the set with no st…
math.GR2007
Interpreting the arithmetic in Thompson's group F
Vladimir Tolstykh, Valery Bardakov
We prove that the elementary theory of Thompson's group is hereditarily undecidable.
math.GR2007★ 1 cited
Free two-step nilpotent groups whose automorphism group is complete
Vladimir Tolstykh
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 com…