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math.GR1997
Set theory is interpretable in the automorphism group of a free group
Vladimir Tolstykh
In 1976 S. Shelah posed the following problem: for which variety V of algebras the automorphism group of any free algebra F from V of "large" infinite rank interprets by means of f…
math.GR1997
The automorphism tower of a free group
Vladimir Tolstykh
We prove that the automorphism group of an arbitrary non-abelian free group is complete. It generalizes the result by J.Dyer and E.Formanek (1975) stating the completeness of autom…