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Algebraic Topology
· Problem 3F.6
Cohomology — Allen Hatcher
Mathematics — Topology · ext-Zpinfty-Zp
Problem
Show that
E
x
t
(
Z
p
∞
,
Z
p
)
≈
Z
p
\mathrm{Ext}(\mathbb{Z}_{p^\infty}, \mathbb{Z}_p) \approx \mathbb{Z}_p
Ext
(
Z
p
∞
,
Z
p
)
≈
Z
p
.
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