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

Fedor Bogomolov, Jorge Maciel, Tihomir Petrov

Research output: Contribution to journalArticle

Abstract

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 .

Original languageEnglish (US)
Pages (from-to)935-949
Number of pages15
JournalAmerican Journal of Mathematics
Volume126
Issue number4
StatePublished - Aug 2004

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Groups of Lie Type
Brauer Group
Finite Simple Group
Trivial
Subgroup
Linear Representation
Algebraic Variety
Faithful
Rationality
Obstruction
Restriction

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Unramified brauer groups of finite simple groups of lie type A ℓ . / Bogomolov, Fedor; Maciel, Jorge; Petrov, Tihomir.

In: American Journal of Mathematics, Vol. 126, No. 4, 08.2004, p. 935-949.

Research output: Contribution to journalArticle

Bogomolov, Fedor ; Maciel, Jorge ; Petrov, Tihomir. / Unramified brauer groups of finite simple groups of lie type A ℓ . In: American Journal of Mathematics. 2004 ; Vol. 126, No. 4. pp. 935-949.
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