由Frobenius P-范畴F上的基本F-局部性得到的完全F-局部性
The perfect F-locality from the basic F-locality over a Frobenius P-category F
摘要:
设p是素数,P是有限p-群,F是Frobenius P-范畴,F^sc是P的F-自中心子群集上的F的满子范畴.最近,我们已经知道了一种从基本F^sc-局部性L^b得到完全F^sc-局部性P^sc的简单方法:它依赖于基本F局部性L^b的适当过滤和消失上同调结果,在“Grothendieck群在Frobenius P-范畴上的极限的分类”中给出了更多的一般性。
英文摘要:
Let p be a prime, P a finite p-group, F a Frobenius P-category and F^sc the full subcategory of F over the set of F-selfcentralizing subgroups of P. Recently, we have understood an easy way to obtain the perfect F^sc-locality P^sc from the basic F^sc-locality L^b: it depends on a suitable filtration of the basic F-locality L^b and on a vanishing cohomology result, given with more generality in 'Categorizations of limits of Grothendieck groups over a Frobenius P-category'.
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