A refinement of a conjecture of Quillen

作者:Rahm Alexander D*; Wendt Matthias
来源:Comptes Rendus Mathematique, 2015, 353(9): 779-784.
DOI:10.1016/j.crma.2015.03.022

摘要

We present some new results on the cohomology of a large scope of SL2 groups in degrees above the virtual cohomological dimension, yielding some partial positive results for the Quillen conjecture in rank one. We combine these results with the known partial positive results and the known types of counterexamples to the Quillen conjecture, in order to formulate a refined variant of the conjecture.

  • 出版日期2015-9