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 Incoming links: Finite cyclic group

Integral cohomology of a finite cyclic group 2026-09-24

For the trivial action of the finite cyclic group

C_{m}

on

Z

,

H^{0} (C_{m}, Z) = Z, H^{2 k + 1} (C_{m}, Z) = 0, H^{2 k} (C_{m}, Z) = Z / m Z

for

k \geq 1

. The periodic resolution of a finite cyclic group proves this directly.

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