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Hatcher-Topology-of-Numbers
· Problem 8.4.2
Quadratic Fields
Mathematics — Algebraic Topology · ideal-class-group
Problem
In
Z
[
−
6
]
\mathbb{Z}[\sqrt{-6}]
Z
[
−
6
]
compute the powers of the ideal
(
2
,
−
6
)
(2, \sqrt{-6})
(
2
,
−
6
)
and determine which powers are principal ideals.
Related theory
The Ideal Class Group And Finiteness
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