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A refinement of a conjecture of Quillen
(Elsevier ScienceDirect, 2015-09)
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 ...
The mod 2 cohomology rings of SL2 of the imaginary quadratic integers
(Elsevier ScienceDirect, 2015-09-28)
We establish general dimension formulae for the second page of the equivariant spectral sequence of the action of the SL2 groups over imaginary quadratic integers on their associated symmetric space. By way of doing this, ...