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The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers

Abstract : We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL_2 groups over imaginary quadratic integers on their associated symmetric space. On the way, we extend the torsion subcomplex reduction technique to cases where the kernel of the group action is nontrivial. Using the equivariant and Lyndon-Hochschild-Serre spectral sequences, we investigate the second page differentials and show how to obtain the mod 2 cohomology rings of our groups from this information.
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Contributor : Alexander Rahm <>
Submitted on : Saturday, August 20, 2016 - 6:04:05 PM
Last modification on : Friday, March 19, 2021 - 9:50:02 PM


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  • HAL Id : hal-00769261, version 5
  • ARXIV : 1507.06144



Ethan Berkove, Alexander Rahm. The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers. Journal of Pure and Applied Algebra, Elsevier, 2015, Accepted for publication on July 21, 2015. ⟨hal-00769261v5⟩



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