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15
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Calculation of the Picard group and the class group

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#computational-geometry #ideal-class-group #picard-group
48
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(Reference request) List of (isomorphism classes of) ideal class groups of $\mathbb{Q}(\sqrt{d})$.

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#abstract-algebra #reference-request #algebraic-number-theory #ideal-class-group
575
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$\mathbb{Q}(\sqrt[3]{17})$ has class number $1$

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#algebraic-number-theory #principal-ideal-domains #ramification #ideal-class-group
71
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Property of multiplication of ideals in $\mathcal{O}_K$

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#algebraic-number-theory #ideals #ideal-class-group
168
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Ramification of primes under cetain conditions

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#algebraic-number-theory #ramification #discriminant #ideal-class-group
691
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Computing the Picard group of Number Fields in analogy with genus $0$ curves

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#algebraic-geometry #algebraic-number-theory #algebraic-curves #ideal-class-group
500
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Computing ideal class group by other means than the Minkowski bound?

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#algebraic-number-theory #ideal-class-group
130
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Representative of the $2$-Sylow subgroup of an ideal class group

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#algebraic-number-theory #ideal-class-group
104
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Relating the class number of a field, and of its normal closure

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#number-theory #galois-theory #class-field-theory #ideal-class-group
176
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Lower bound for cardinality of class group

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#number-theory #algebraic-number-theory #ideal-class-group
130
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Reference request - Lattices for studying number fields

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#algebraic-number-theory #integer-lattices #ideal-class-group
451
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Conditions for when a class is a square in the ideal class group of a quadratic field.

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#algebraic-number-theory #ideals #quadratic-residues #discriminant #ideal-class-group
74
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divisibility of class numbers of composite two abelian number fields

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#number-theory #algebraic-number-theory #ideal-class-group
57
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Is the ratio of the norms of generators in an ideal well defined?

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#algebraic-number-theory #ideals #integer-lattices #ideal-class-group
108
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Example of principal ideals in the Class Group

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#abstract-algebra #ring-theory #field-theory #algebraic-number-theory #ideal-class-group

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