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New posts in ideal-class-group
$\mathbb{Q}(\sqrt[3]{17})$ has class number $1$
algebraic-number-theory
principal-ideal-domains
ramification
ideal-class-group
Calculating this class number
number-theory
algebraic-number-theory
ideals
ideal-class-group
Why do we use *fractional* ideals in construction of the class group?
number-theory
ring-theory
ideal-class-group
What is the meaning of the ideal class group?
number-theory
algebraic-number-theory
ideal-class-group
Is the class number of $K$ the number of factorizations an element of $\mathcal{O}_K$ can have?
ring-theory
algebraic-number-theory
ideal-class-group
Motivation behind the definition of ideal class group
number-theory
algebraic-number-theory
ideal-class-group
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