Homotopy Formulas for Cyclic Groups Acting on Rings

• Autores: Christian Kassel
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 51, Nº 1, 2008, págs. 81-85
• Idioma: inglés
• DOI: 10.4153/cmb-2008-010-3
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• Resumen

  • 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.