Homotopy formulas for cyclic groups acting on rings
群论
2010-03-25 v1 环与代数
摘要
The positive cohomology groups of a finite group acting on a ring vanish when the ring has a norm-one element. In this note we give explicit homotopies on the level of cochains when the group is cyclic, which allows us to express any cocycle of a cyclic group as the coboundary of an explicit cochain. The formulas in this note are closely related to the effective problems considered in previous joint work with Eli Aljadeff.
引用
@article{arxiv.math/0510222,
title = {Homotopy formulas for cyclic groups acting on rings},
author = {Christian Kassel},
journal= {arXiv preprint arXiv:math/0510222},
year = {2010}
}
备注
6 pages