Bogomolov, Fedor; Maciel, Jorge; Petrov, Tihomir Unramified Brauer groups of finite simple groups of Lie type \(A_\ell\). (English) Zbl 1058.14031 Am. J. Math. 126, No. 4, 935-949 (2004). The authors consider subgroups \(B_0(G)\) of \(H^2(G,\mathbb Q/\mathbb Z)\) whose elements have trivial restrictions to every abelian subgroup of \(G\). In this fashion, \(B_0(G)\) provides the simplest nontrivial obstruction to stable rationality of certain algebraic varieties. Moreover, they prove that \(B_0(G)\) is trivial for finite simple groups of Lie type, to which the last section of their paper is devoted. Reviewer: Richard A. Mollin (Calgary) Cited in 2 ReviewsCited in 11 Documents MSC: 14F22 Brauer groups of schemes 20J05 Homological methods in group theory Keywords:cohomology; stable rationality PDFBibTeX XMLCite \textit{F. Bogomolov} et al., Am. J. Math. 126, No. 4, 935--949 (2004; Zbl 1058.14031) Full Text: DOI arXiv