Mimar Sinan Güzel Sanatlar Üniversitesi Matematik Bölümü Seminerleri
Definably Simple Stable Groups with Finitary Groups of Automorphisms
Ulla Karhumäki
University of Manchester, Birleşik Krallık
We prove that infinite definably simple locally finite groups of finite centraliser dimension are simple groups of Lie type over locally finite fields. Then, we identify conditions of automorphisms of a stable group that make it resemble the Frobenius maps, and allow us to classify definably simple stable groups in the specific case when they admit such automorphisms.
