THE AUTOMORPHISM TOWER OF A FREE GROUP

VLADIMIR TOLSTYKH

doi:10.1112/S0024610799008273

Abstract

It is proved that the automorphism group of any non-abelian free group F is complete. The key technical step in the proof is that the set of all conjugations by powers of primitive elements is first-order parameter-free definable in the group Aut(F).

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THE AUTOMORPHISM TOWER OF A FREE GROUP

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THE AUTOMORPHISM TOWER OF A FREE GROUP

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