A characterization of algebraic number fields with cyclic class group of prime power order

DOI10.1007/BF01161801zbMath0522.12006MaRDI QIDQ1055814

Ulrich Krause

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173436

zbMATH Keywords

class numbercyclic class group of prime power orderfactorization of algebraic integersprimary integer

Mathematics Subject Classification ID

Units and factorization (11R27) Iwasawa theory (11R23)

Related Items (14)

Systems of sets of lengths. ⋮ On a characterization of algebraic number fields with class number less than three ⋮ On the hfd, chfd, and k-hfd properties in dedekind domains ⋮ Differences in sets of lengths of Krull monoids with finite class group. ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ The cross number of finite Abelian groups. III ⋮ Finer factorization characterizations of class number 2 ⋮ AN ARITHMETICAL CHARACTERIZATION OF FINITE ELEMENTARY 2-GROUPS ⋮ Weakly half-factorial sets in finite abelian groups ⋮ A new upper bound for the cross number of finite Abelian groups. ⋮ Factorization in Dedekind domains with finite class group ⋮ On The Asymptotic Values of Length Functions In Krull And Finitely Generated commutative Monoids ⋮ Elasticities of Krull domains with finite divisor class group ⋮ On the Elasticities of Krull Domains with Finite Cyclic Divisor Class Group

Cites Work

• Unnamed Item
• Half-factorial-domains
• A combinatorial problem on finite Abelian groups. I
• Finite abelian groups and factorization problems. II
• Finite abelian groups and factorization problems
• A Characterization of Algebraic Number Fields with Class Number Two

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