Pseudofinite groups as fixed points in simple groups of finite Morley rank
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Dosyalar
Tarih
2013-05
Yazarlar
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We prove that if the group of fixed points of a generic automorphism of a simple group of finite Morley rank is pseudofinite, then this group is an extension of a (twisted) Chevalley group over a pseudofinite field. On the way to obtain this result, we classify non-abelian definably simple pseudofinite groups of finite centralizer dimension (using the ideas of Wilson (1993) [29]). © 2012 Elsevier B.V.
Açıklama
Anahtar Kelimeler
O-Minimal, Valued Fields, Motivic Integration
Kaynak
Journal of Pure and Applied Algebra
WoS Q Değeri
Q1
