A new approach to twisted homological stability with applications to congruence subgroups
A new approach to twisted homological stability with applications to congruence subgroups
复制标题
扭曲同调稳定性的新方法及其在同余子群中的应用
作者：
Andrew Putman
We introduce a new method for proving twisted homological stability, and use it to prove such results for symmetric groups and general linear groups. In addition to sometimes slightly improving the stable range given by the traditional method (due to Dwyer), it is easier to adapt to nonstandard situations. As an illustration of this, we generalize to GLn$operatorname{GL}_n$ of many rings R$R$ a theorem of Borel that says that passing from GLn$operatorname{GL}_n$ of a number ring to a finite‐index subgroup does not change the rational cohomology. Charney proved this generalization for trivial coefficients, and we extend it to twisted coefficients.
半单纯空间
影响因子：
0.7
作者：
Ebert J
通讯作者：
Ebert J
$${{,mathrm{ exttt {VIC}},}}$$-非交换环上的模
DOI：
10.1007/s00029-022-00799-7
发表时间：
2022
期刊：
Selecta Mathematica
影响因子：
--
作者：
Putman, Andrew;Sam, Steven V
通讯作者：
Sam, Steven V