Hostname: page-component-77c89778f8-fv566 Total loading time: 0 Render date: 2024-07-20T15:27:55.664Z Has data issue: false hasContentIssue false
  • English
  • Français

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; vlad@offer.kuzb-fin.ru
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)