关于sl3的模2上同调，i

IF 0.8 Q2 MATHEMATICS Tunisian Journal of Mathematics Pub Date : 2017-02-15 DOI:10.2140/tunis.2019.1.539

H. Henn

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引用次数: 0

摘要

设Γ=SL 3（Z[1 2，i]），设X是Γ与有限稳定器作用的任何模-2非循环Γ-CW复形，设X为X的2-奇异轨迹。该上同调与Γ的mod-2上同调在大于8的上同调度上一致，并且该结果与Quillen的一个猜想相容，该猜想预测了上同调环H*（Γ；Z/2）的结构。

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On the mod-2 cohomology of SL3ℤ,i

Let Γ = SL 3 (Z[ 1 2 , i]), let X be any mod-2 acyclic Γ-CW complex on which Γ acts with finite stabilizers and let Xs be the 2-singular locus of X. We calculate the mod-2 cohomology of the Borel constructon of Xs with respect to the action of Γ. This cohomology coincides with the mod-2 cohomology of Γ in cohomological degrees bigger than 8 and the result is compatible with a conjecture of Quillen which predicts the strucure of the cohomology ring H * (Γ; Z/2).

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