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THE AUTOMORPHISM TOWER OF A FREE GROUP

Published online by Cambridge University Press:  01 April 2000

VLADIMIR TOLSTYKH
VLADIMIR TOLSTYKH
Affiliation:
Department of Mathematics, Kemerovo State University, Krasnaja 6, 650043 Kemerovo, Russia; [email protected]
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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).

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 423 - 440
Copyright
The London Mathematical Society 2000

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