Homotopy Formulas for Cyclic Groups Acting on Rings
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AbstractThe 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.
2021 ◽
Vol 03
(01)
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pp. 101-110
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1978 ◽
Vol 25
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pp. 264-268
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1954 ◽
Vol 2
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pp. 66-76
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2016 ◽
Vol 99
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pp. 257-264
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1982 ◽
Vol 85
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pp. 231-240
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1968 ◽
Vol 20
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pp. 1300-1307
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