On the unit group of a semisimple group algebra and the normal complement problem

DOI10.1007/s00013-022-01819-wOpenAlexW4313815899MaRDI QIDQ2699753

Surinder Kaur

Publication date: 19 April 2023

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

Full work available at URL: https://doi.org/10.1007/s00013-022-01819-w

zbMATH Keywords

conjugacy classunit groupgroup ringcuspidal representationWedderburn-Artin theoremnormal complement

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Units in the modular group algebra of a finite Abelian p-group
• Normal complements in mod p-envelopes
• Unitary units in modular group algebras
• ON SYMMETRIC UNITS IN GROUP ALGEBRAS
• Lie Groups
• A note on normal complement problem
• A Note on Normal Complements in mod p Envelopes
• Trivial Units for Group Rings withG-adapted Coefficient Rings
• Symmetric units in modular group algebras
• On the order of the unitary subgroup of a modular group algebra
• Unitary and Symmetric Units of a Commutative Group Algebra
• A note on normal complement problem for split metacyclic groups
• On the normal complement problem in modular and semisimple group algebras
• The normal complement problem and the structure of the unitary subgroup
• The Modular Group-Ring of a Finite p-Group
• Trivial units for group rings over rings of algebraic integers
• Unit Groups of Completed Modular Group Algebras and the Isomorphism Problem
• Unitary units in group algebras

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