%0 Journal Article
%T Unramified Brauer groups of finite simple groups of Lie type $A_{\ell}$
%A Fedor Bogomolov
%A Jorge Maciel
%A Tihomir Petrov
%J Mathematics
%D 2002
%I arXiv
%X We study the subgroup B_0(G) of H^2(G,Q/Z) consisting of all elements which have trivial restrictions to every Abelian subgroup of G. The group B_0(G) serves as the simplest nontrivial obstruction to stable rationality of algebraic varieties V/G where V is a faithful complex linear representation of the group G. We prove that B_0(G) is trivial for finite simple groups of Lie type A_{\ell}.
%U http://arxiv.org/abs/math/0211193v2