Picard groups and automorphism groups of integral group rings of metacyclic groups

DOI10.1016/0021-8693(82)90254-XzbMath0496.16011MaRDI QIDQ1170327

Takehiko Miyata, Shizuo Endo, Katsusuke Sekiguchi

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

dihedral groupclass groupmetacyclic groupintegral group ringpull-backlocally free Picard groupouter central automorphism group

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

On the automorphism group of the p-adic group ring of a metacyclic p- group. II ⋮ Automorphisms of generic Iwahori-Hecke algebras and integral group rings of finite Coxeter groups ⋮ On the automorphism group of the p-adic group ring of a metacyclic p- group

Cites Work

• A normal integral basis theorem for dihedral groups
• On the class groups of dihedral groups
• On the units of the integral group ring of a dihedral group
• Groupe des classes de l'algèbre d'un groupe metacyclique
• Automorphisms of finite groups: Addendum
• A Mayer-Vietoris sequence for class groups
• Class Groups and Picard Groups of Orders
• Class groups of metacyclic groups of order p'q,p a regular prime
• The Picard Group of Noncommutative Rings, in Particular of Orders
• On the Modular Group Ring of a p-Group
• On the classgroup of integral grouprings of finite abelian groups
• Class groups for integral representations of metacyclic groups