Outer group automorphisms may become inner in the integral group ring

DOI10.1016/0022-4049(95)90113-YzbMath0835.16020MaRDI QIDQ1901024

Alexander Zimmermann, Klaus W. Roggenkamp

Publication date: 8 April 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groupsalgebraic number fieldsautomorphismsgroup rings\(p\)-groupsring of algebraic integers

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45)

Related Items (5)

A counterexample for the isomorphism-problem of polycyclic groups ⋮ On hypercentral units in integral group rings ⋮ Local analysis of the normalizer problem ⋮ 𝑛-inner automorphisms of finite groups ⋮ The normalizer of a group in the unit group of its group ring

Cites Work

• Group automorphisms inducing the identity map on cohomology
• The Picard Group of Noncommutative Rings, in Particular of Orders
• On the Modular Group Ring of a p-Group
• Über die Geschlechter von Gittern über Ordnungen.
• An Extension of the Noether-Deuring Theorem

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