Class groups of group rings whose coefficients are algebraic integers

DOI10.21099/TKBJM/1496159528zbMath0526.12008OpenAlexW409814871MaRDI QIDQ594924

Yumiko Hironaka-Kobayashi

Publication date: 1982

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496159528

zbMATH Keywords

ideal class groupsclass groups of group ringsintegers in algebraic number fieldintegers in quadratic fieldsorder in finite dimensional semisimple k-algebra

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (3)

On the isomorphism class of the ring of integers of a cyclic wildly ramified extension of degree p ⋮ Cyclotomic Swan subgroups and primitive roots. ⋮ On the self-duality of rings of integers in tame and abelian extensions

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