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Rational homology of the group \(\text{O}_n(\mathbb{Z}[\tfrac 12])\) and automorphisms of unimodular lattices

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Publication:699220
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DOI10.1016/S1631-073X(02)02440-8zbMath1013.20039MaRDI QIDQ699220

Gaël Collinet

Publication date: 31 March 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

virtual cohomological dimensionrational homologyQuillen's conjecture


Mathematics Subject Classification ID

Cohomology theory for linear algebraic groups (20G10) Automorphism groups of lattices (11H56)




Cites Work

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  • Klassenzahlen definiter quadratischer Formen
  • On the plus construction for \(BGL \mathbb{Z} [{1\over 2}\) at the prime 2]
  • Homotopy properties of the poset of nontrivial p-subgroups of a group
  • The cohomology of \(\text{SL}(3,\mathbb{Z}[1/2)\)]
  • The spectrum of an equivariant cohomology ring. I. II
  • Positive definite unimodular lattices with trivial automorphism groups
  • Exotic cohomology for 𝐺𝐿_{𝑛}(ℤ[1/2)]


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