- Title : Jordan property for Cremona groups - Speaker : Konstantin Shramov (Steklov Mathematical Institute) - Date & Time : 25 June , 2012 (Mon) 16:45~17:45 - Place : Math Science Building room 404 - Abstract : A (infinite) group F is called Jordan if there is a
constant J such that for any finite subgroup G in F there is a normal abelian subgroup H in G of index [G:H]<J.Classical
examples of groups with this property include GL_n(C), and thus all affine algebraic
groups over fields of zero characteristic. I will prove that the Cremona group Cr_n(C)
is Jordan for n=3, and the same result holds for any n>3 modulo Borisov-Alexeev-Borisov conjecture. The
talk is basedon
a joint work with Yu.Prokhorov. |
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