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Homotopy Formulas for Cyclic Groups Acting on Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
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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.
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- Research Article
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- Copyright © Canadian Mathematical Society 2008
References
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