## 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 _{ℓ}.

Original language | English (US) |
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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

- Mathematics(all)

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