Nilpotency indices of the radicals of p-group algebras

DOI10.1017/S0013091500018964zbMath0818.20004MaRDI QIDQ4312774

Yasushi Ninomiya

Publication date: 1 December 1994

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

zbMATH Keywords

group algebrasfinite \(p\)-groupsexponentJacobson radicalnilpotency index

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) Jacobson radical, quasimultiplication (16N20)

Related Items (2)

NILPOTENCY INDICES OF THE RADICALS OF FINITE p-SOLVABLE GROUP ALGEBRAS. II ⋮ Nilpotency indices of the radicals of finite p-solvable group algebras, I

Cites Work

• Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras
• On the nilpotency index of the radical of a group algebra
• The Groups of Order p 6 (p and Odd Prime)
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Unnamed Item

This page was built for publication: Nilpotency indices of the radicals of p-group algebras