GROUP ALGEBRAS WHOSE GROUP OF UNITS IS POWERFUL

DOI10.1017/S1446788709000214zbMath1194.20005arXiv0906.0870OpenAlexW2963127777MaRDI QIDQ5852036

Victor A. Bovdi

Publication date: 26 January 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0870

zbMATH Keywords

finite \(p\)-groupsgroups of unitsmodular group algebrasgroups of normalized unitspro-\(p\)-groupspowerful \(p\)-groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• On elements of order \(p\) in powerful \(p\)-groups.
• On a Class of Nilpotent Groups
• On the power structure of powerful p-groups
• Unnamed Item