Let
, let
be any
mod- acyclic
-CW complex on
which
acts with finite
stabilizers and let
be the
-singular locus
of
. We calculate the
mod- cohomology of the Borel
construction of
with respect to
the action of
. This cohomology
coincides with the mod-
cohomology of
in cohomological
degrees bigger than
and the result is compatible with a conjecture of Quillen which predicts the structure of the
cohomology ring
.
Keywords
cohomology of special and general linear groups, Quillen
conjecture