The isomorphism problem for rational group algebras of finite metacyclic nilpotent groups

DOI10.2989/16073606.2024.2344035MaRDI QIDQ6618744

Àngel García-Blázquez, Ángel Del Río

Publication date: 15 October 2024

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10)

Cites Work

• Group ring groups. Volume 1: Orders and generic constructions of units.
• Presentations of metacyclic \(p\)-groups with applications to \(K\)- admissibility questions
• Enumeration of metacyclic \(p\)-groups
• Deux groupes finis distincts ayant la même algèbre de groupe sur tout corps
• On the algebraic structure of group rings
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• Metacyclic Groups of Odd Order
• Metacyclic groups
• Presentations of metacyclic groups
• The Units of Group-Rings
• Abelian Group Algebras of Finite Order
• A counterexample to the isomorphism problem for integral group rings
• A classification of the finite 2-generator cyclic-by-abelian groups of prime-power order
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