A class of finite p -groups and the normalized unit groups of group algebras

DOI10.1080/00927872.2024.2345277MaRDI QIDQ6600709

He Guo Liu, Yu Lei Wang

Publication date: 10 September 2024

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

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
• Units in the modular group algebra of a finite Abelian p-group
• The automorphism group of a generalized extraspecial \(p\)-group.
• The modular group algebra of a central-elementary-by-abelian p-group
• Lie properties of the group algebra and the nilpotency class of the group of units
• Groups of prime power order with derived subgroup of prime order
• An introduction to group rings
• Units in group algebras of finite \(p\)-groups.
• The automorphism group of an extraspecial \(p\)-group
• Group identities on units and symmetric units of group rings.
• Automorphism Groups of Some Finite p-Groups
• The structure of the unit group of some group algebras
• The Modular Group-Ring of a Finite p-Group
• The classification of prime-power groups.
• Automorphisms of \(p\)-groups given as cyclic-by-elementary Abelian central extensions

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