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Article detail · 2000

The Automorphism Tower of a Free Group

Journal

Journal of the London Mathematical Society
OpenAlex SJR Q1 JCR Q3 Citations 23 Percentile 90.0% FWCI 2.87
Year
2000
DOI
10.1112/s0024610799008273
Type
article

Data source split

  • YÖKSİS venue Journal of the London Mathematical Society
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

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).

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

23 citations

OpenAlex cited_by_count (cache / database)

8 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. On the palindromic and primitive widths of a free group 2005 Citations 36 · OpenAlex
  2. Small conjugacy classes in the automorphism groups of relatively free groups 2010 Citations 7 · OpenAlex
  3. Free two-step nilpotent groups whose automorphism group is complete 2001 Citations 6 · OpenAlex
  4. Infinitely generated free nilpotent groups: completeness of the automorphism groups 2009 Citations 4 · OpenAlex
  5. Set Theory is Interpretable in the Automorphism Group of an Infinitely Generated Free Group 2000 Citations 4 · OpenAlex
  6. On the logical strength of the automorphism groups of free nilpotent groups 2002 Citations 2 · OpenAlex
  7. Free two-step nilpotent groups whose automorphism group is complete 2007 Citations 1 · OpenAlex
  8. On the outer automorphism groups of free groups 2014 Citations 0 · OpenAlex

Authors

No author information.