Homotopy formulas for cyclic groups acting on rings
Group Theory
2010-03-25 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.math/0510222,
title = {Homotopy formulas for cyclic groups acting on rings},
author = {Christian Kassel},
journal= {arXiv preprint arXiv:math/0510222},
year = {2010}
}
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6 pages