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Abstract
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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
.
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Keywords
cohomology of special and general linear groups, Quillen
conjecture
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Mathematical Subject Classification 2010
Primary: 20G10
Secondary: 55R40
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Milestones
Received: 29 January 2018
Revised: 6 August 2018
Accepted: 20 August 2018
Published: 14 December 2018
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