关于SL 3（z[ 1 2，i]）的Mod-2上同调
On the Mod-2 Cohomology of SL 3 (z[ 1 2 , i])
摘要：
设$Γ$ = SL 3（Z[ 1 2，i]），X是任意mod-2非循环$Γ$ -CW复形，$Γ$作用于其上，且有有限稳定子，Xs是X的2-奇异轨迹.我们计算了X的Borel构造关于$Γ$作用的模2上同调.这个上同调与$Γ$的mod-2上同调在上同调度大于8时是一致的，并且这个结果与Quillen关于上同调环H *（$Γ$ ; Z/2）的结构的猜想是一致的.
英文摘要：
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).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
