Unramified brauer groups of finite simple groups of lie type A ℓ

Fedor Bogomolov; Jorge Maciel; Tihomir Petrov

Unramified brauer groups of finite simple groups of lie type A _ℓ

Fedor Bogomolov, Jorge Maciel, Tihomir Petrov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the subgroup B₀(G) of H²(G, ℚ/ℤ) consisting of all elements which have trivial restrictions to every Abelian subgroup of G. The group B₀(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 _ℓ.

Original language	English (US)
Pages (from-to)	935-949
Number of pages	15
Journal	American Journal of Mathematics
Volume	126
Issue number	4
State	Published - Aug 2004

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "We study the subgroup B0(G) of H2(G, ℚ/ℤ) consisting of all elements which have trivial restrictions to every Abelian subgroup of G. The group B0(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 ℓ.",

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Unramified brauer groups of finite simple groups of lie type A _ℓ

Abstract

ASJC Scopus subject areas

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