[Turkmath:8872] Mimar Sinan Üniversitesi'nde Matematik Semineri
Ayhan Gunaydin
ayhan.gunaydin at msgsu.edu.tr
26 Mar 2013 Sal 13:21:15 EET
Değerli liste üyeleri,
Mimar Sinan Güzel Sanatlar Üniversitesi'ndeki, Matematik Semineri'nde bu hafta Pınar Uğurlu konuşuyor. Detaylar aşağıda.
İyi çalışmalar,ayhan
Konuşmacı: Pınar Uğurlu (İstanbul Bilgi Üniversitesi)
Başlık: Linear Pseudofinite Groups
Özet: Roughly speaking, pseudofinite groups are infinite groups enjoying the first order properties shared by all finite groups. The simple ones are classified byJohn S. Wilson as (twisted) Chevalley groups over pseudofinite fields (up to elementary equivalence which is strengthen to isomorphism by M. Ryten).
It can be observed that Wilson's proof works for non-abelian definably simple pseudofinite groups of finite centralizer dimension, in particular for the linear ones.
We will show that this result yields an alternative proof of the Larsen-Pink Theorem which roughly says that “large” finite simple groups of matrices
are Chevalley groups over finite fields. We will also talk about the ongoing project of eliminating the classification of finite simple groups from the proof of the
classification result mentioned above.
Yer: MSGSÜ, Bomonti Kampüsü (Harita), Matematik Bölümü Seminer Odası.
Zaman: 29 Mart 2013, Cuma, 16:00
http://math.msgsu.edu.tr/~ayhan/Seminars
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