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)|
|Number of pages||15|
|Journal||American Journal of Mathematics|
|State||Published - Aug 2004|
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