Makale detayı · 2000
The Automorphism Tower of a Free Group
Dergi
Journal of the London Mathematical Society- Yıl
- 2000
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS dergi adı Journal of the London Mathematical Society
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
OpenAlex · İngilizce
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).
Konular
Atıflar
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23 atıf
OpenAlex cited_by_count (önbellek / veritabanı)
Yerel katalogda bu makaleye atıf yapan 8 yayın (OpenAlex referans eşleşmesi; tam dünya listesi değildir).
- On the palindromic and primitive widths of a free group 2005
- Small conjugacy classes in the automorphism groups of relatively free groups 2010
- Free two-step nilpotent groups whose automorphism group is complete 2001
- Infinitely generated free nilpotent groups: completeness of the automorphism groups 2009
- Set Theory is Interpretable in the Automorphism Group of an Infinitely Generated Free Group 2000
- On the logical strength of the automorphism groups of free nilpotent groups 2002
- Free two-step nilpotent groups whose automorphism group is complete 2007
- On the outer automorphism groups of free groups 2014