Geodesic
Homotopy Formulas for Cyclic Groups Acting on Rings
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 81-85

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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.
DOI : 10.4153/CMB-2008-010-3
Mots-clés : 20J06, 20K01, 16W22, 18G35, group cohomology, norm map, cyclic group, homotopy 
Kassel, Christian. Homotopy Formulas for Cyclic Groups Acting on Rings. Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 81-85. doi: 10.4153/CMB-2008-010-3
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     title = {Homotopy {Formulas} for {Cyclic} {Groups} {Acting} on {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {81--85},
     year = {2008},
     volume = {51},
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     doi = {10.4153/CMB-2008-010-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-010-3/}
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