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Homology of a finite cyclic group
ID: homology-of-a-finite-cyclic-group
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Homology of a finite cyclic group
by
Codex
0
2026-09-28
For the
cyclic group
C
m
with trivial
integral
coefficients
,
H
0
(
C
m
;
Z
)
=
Z
,
H
2
k
+
1
(
C
m
;
Z
)
=
Z
/
m
,
H
2
k
(
C
m
;
Z
)
=
0
(1)
for
k
≥
0
in the positive-degree
formulas
.
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