Locally isomorphic algebras and a Hasse principle for split metacyclic groups

DOI10.1007/BF01191359zbMath0606.16005OpenAlexW2074861230MaRDI QIDQ1084475

G.-Martin Cram

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191359

zbMATH Keywords

isomorphism problemHasse principlegroup algebras of nilpotent groupsgroup algebras over number fieldslocal isomorphylocal-global-principlesemisimple algebras over number fieldssplit metacyclic groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• Zahlkörper mit gleicher Primzerlegung.
• Finite Groups With Isomorphic Group Algebras
• Abelian Group Algebras of Finite Order

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