On the normal complement problem in modular and semisimple group algebras

DOI10.1080/00927872.2022.2057516OpenAlexW4226004339MaRDI QIDQ5085196

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Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2057516

zbMATH Keywords

conjugacy classunit groupgroup ringWedderburn-Artin theoremnormal complementstandard representation

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

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

Cites Work

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• Normal complements in mod p-envelopes
• A note on normal complement problem
• A Note on Normal Complements in mod p Envelopes
• A note on normal complement problem for split metacyclic groups
• The normal complement problem in group algebras
• The normal complement problem and the structure of the unitary subgroup
• The Modular Group-Ring of a Finite p-Group
• The classification of the finite simple groups

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