Unramified Brauer groups of finite simple groups of Lie type $A_{\ell}$

Details Unramified Brauer groups of finite simple groups of Lie type $A_{\ell}$ Unramified Brauer groups of finite simple groups of Lie type $A_{\ell}$

2002-11-12

arxiv.org/abs/math/0211193v2

Mathematics

Algebraic Geometry

15 pages

Scientific paper

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}.

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