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• Ideal_class_group abstract "In mathematics, for a field K an ideal class group (or class group) is the quotient group JK/PK where JK is the whole fractional ideals of K and PK is the principal ideals of K. The extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by the ideal class group (or class group). If this group is finite (as it is in the case of the ring of integers of a number field), then the order of the group is called the class number. The multiplicative theory of a Dedekind domain is intimately tied to the structure of its class group. For example, the class group of a Dedekind domain is trivial if and only if the ring is a unique factorization domain.".
• Ideal_class_group wikiPageExternalLink 1102994263&page=record.
• Ideal_class_group wikiPageID "150907".
• Ideal_class_group wikiPageLength "13613".
• Ideal_class_group wikiPageOutDegree "96".
• Ideal_class_group wikiPageRevisionID "655790874".
• Ideal_class_group wikiPageWikiLink Abelian_group.
• Ideal_class_group wikiPageWikiLink Algebraic_K-theory.
• Ideal_class_group wikiPageWikiLink Algebraic_geometry.
• Ideal_class_group wikiPageWikiLink Algebraic_integer.
• Ideal_class_group wikiPageWikiLink Algebraic_integers.
• Ideal_class_group wikiPageWikiLink Algebraic_number_field.
• Ideal_class_group wikiPageWikiLink Algebraic_number_theory.
• Ideal_class_group wikiPageWikiLink Arakelov_class_group.
• Ideal_class_group wikiPageWikiLink Asymptotic_analysis.
• Ideal_class_group wikiPageWikiLink Binary_quadratic_form.
• Ideal_class_group wikiPageWikiLink Binary_relation.
• Ideal_class_group wikiPageWikiLink Brauer–Siegel_theorem.
• Ideal_class_group wikiPageWikiLink Cambridge_University_Press.
• Ideal_class_group wikiPageWikiLink Carl_Friedrich_Gauss.
• Ideal_class_group wikiPageWikiLink Category:Algebraic_number_theory.
• Ideal_class_group wikiPageWikiLink Category:Ideals.
• Ideal_class_group wikiPageWikiLink Class_field_theory.
• Ideal_class_group wikiPageWikiLink Class_number_formula.
• Ideal_class_group wikiPageWikiLink Class_number_problem.
• Ideal_class_group wikiPageWikiLink Commutative.
• Ideal_class_group wikiPageWikiLink Commutative_property.
• Ideal_class_group wikiPageWikiLink Cyclotomic_field.
• Ideal_class_group wikiPageWikiLink Dedekind_domain.
• Ideal_class_group wikiPageWikiLink Diophantine_equation.
• Ideal_class_group wikiPageWikiLink Discriminant.
• Ideal_class_group wikiPageWikiLink Discriminant_of_an_algebraic_number_field.
• Ideal_class_group wikiPageWikiLink Eisenstein_integer.
• Ideal_class_group wikiPageWikiLink Eisenstein_integers.
• Ideal_class_group wikiPageWikiLink Equivalence_class.
• Ideal_class_group wikiPageWikiLink Equivalence_relation.
• Ideal_class_group wikiPageWikiLink Ernst_Kummer.
• Ideal_class_group wikiPageWikiLink Euclidean_domain.
• Ideal_class_group wikiPageWikiLink Fermats_Last_Theorem.
• Ideal_class_group wikiPageWikiLink Fermats_last_theorem.
• Ideal_class_group wikiPageWikiLink Field_norm.
• Ideal_class_group wikiPageWikiLink Fractional_ideal.
• Ideal_class_group wikiPageWikiLink Fundamental_theorem_of_arithmetic.
• Ideal_class_group wikiPageWikiLink Galois_group.
• Ideal_class_group wikiPageWikiLink Galois_theory.
• Ideal_class_group wikiPageWikiLink Gaussian_integer.
• Ideal_class_group wikiPageWikiLink Gaussian_integers.
• Ideal_class_group wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
• Ideal_class_group wikiPageWikiLink Group_(mathematics).
• Ideal_class_group wikiPageWikiLink Group_homomorphism.
• Ideal_class_group wikiPageWikiLink Harold_Stark.
• Ideal_class_group wikiPageWikiLink Hilbert_class_field.
• Ideal_class_group wikiPageWikiLink Ideal_(ring_theory).
• Ideal_class_group wikiPageWikiLink Ideal_norm.
• Ideal_class_group wikiPageWikiLink Identity_element.
• Ideal_class_group wikiPageWikiLink Integer.
• Ideal_class_group wikiPageWikiLink Integers.
• Ideal_class_group wikiPageWikiLink Integral_domain.
• Ideal_class_group wikiPageWikiLink Inverse_element.
• Ideal_class_group wikiPageWikiLink Kernel_(algebra).
• Ideal_class_group wikiPageWikiLink Kurt_Heegner.
• Ideal_class_group wikiPageWikiLink List_of_number_fields_with_class_number_one.
• Ideal_class_group wikiPageWikiLink Mathematics.
• Ideal_class_group wikiPageWikiLink Minkowskis_bound.
• Ideal_class_group wikiPageWikiLink Monoid.
• Ideal_class_group wikiPageWikiLink Narrow_class_group.
• Ideal_class_group wikiPageWikiLink Number_field.
• Ideal_class_group wikiPageWikiLink Order_(group_theory).
• Ideal_class_group wikiPageWikiLink Picard_group.
• Ideal_class_group wikiPageWikiLink Polynomial_ring.
• Ideal_class_group wikiPageWikiLink Prime_ideal.
• Ideal_class_group wikiPageWikiLink Prime_ideals.
• Ideal_class_group wikiPageWikiLink Principal_ideal.
• Ideal_class_group wikiPageWikiLink Principal_ideal_domain.
• Ideal_class_group wikiPageWikiLink Quadratic_field.
• Ideal_class_group wikiPageWikiLink Quadratic_form.
• Ideal_class_group wikiPageWikiLink Quadratic_integer.
• Ideal_class_group wikiPageWikiLink Quotient_ring.
• Ideal_class_group wikiPageWikiLink Ramification_(mathematics).
• Ideal_class_group wikiPageWikiLink Regular_prime.
• Ideal_class_group wikiPageWikiLink Relation_(mathematics).
• Ideal_class_group wikiPageWikiLink Richard_Dedekind.
• Ideal_class_group wikiPageWikiLink Ring_(mathematics).
• Ideal_class_group wikiPageWikiLink Ring_of_integers.
• Ideal_class_group wikiPageWikiLink Root_of_unity.
• Ideal_class_group wikiPageWikiLink Roots_of_unity.
• Ideal_class_group wikiPageWikiLink Square-free_integer.
• Ideal_class_group wikiPageWikiLink Stark-Heegner_theorem.
• Ideal_class_group wikiPageWikiLink Stark–Heegner_theorem.
• Ideal_class_group wikiPageWikiLink Torsion_subgroup.
• Ideal_class_group wikiPageWikiLink Unique_factorization.
• Ideal_class_group wikiPageWikiLink Unique_factorization_domain.
• Ideal_class_group wikiPageWikiLink Unit_(ring_theory).
• Ideal_class_group wikiPageWikiLink Unramified.
• Ideal_class_group wikiPageWikiLinkText "''h''(''n'')".
• Ideal_class_group wikiPageWikiLinkText "Ideal class group".
• Ideal_class_group wikiPageWikiLinkText "class group".
• Ideal_class_group wikiPageWikiLinkText "class groups".
• Ideal_class_group wikiPageWikiLinkText "class number".
• Ideal_class_group wikiPageWikiLinkText "ideal class group".

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