Zeta functions of integral group rings of metacyclic groups

DOI10.21099/TKBJM/1496159405zbMath0485.12009OpenAlexW1692524992MaRDI QIDQ1164094

Yumiko Hironaka

Publication date: 1981

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

Full work available at URL: https://doi.org/10.21099/tkbjm/1496159405

zbMATH Keywords

zeta functions of ordersintegral group rings of metacyclic groups

Mathematics Subject Classification ID

Group rings (16S34) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

On arithmetic of certain matrix algebras ⋮ The number of ideals of \(\mathbb{Z} [x\) containing \(x(x-\alpha)(x-\beta)\) with given index] ⋮ Computing zeta functions of table algebra orders using local zeta integrals

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