Lower bounds for the radical of the group algebra of a finite p-soluble group

DOI10.1017/S0013091500012505zbMath0167.02603MaRDI QIDQ5552776

D. A. R. Wallace

Publication date: 1968

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

zbMATH Keywords

lower boundsradicalgroup algebra of finite \(p\)-soluble group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (17)

A remark on the Jacobson radical of a block ideal in a finite p-solvable group ⋮ On the nilpotency index of the radical of a group algebra. VI ⋮ Group algebras of finite p-solvable groups with radicals of the fourth power zero ⋮ On the Christensen-Wang bounds for the ghost number of a \(p\)-group algebra ⋮ On the Nilpotency Index of the Radical of a Group Algebra. VIII ⋮ On the projectives of a group algebra ⋮ The nilpotency index of the radicals of group algebras of finite groups whose Sylow 3-subgroups are extra-special of order 27 of exponent 3 ⋮ Modular centralizer algebras corresponding to \(p\)-groups. ⋮ The Kernel of a Block of a Group Algebra ⋮ Group rings ⋮ Blockkorrespondenzen und p'-Normalteiler ⋮ On the nilpotency indices of the radicals of group algebras of p-solvable groups ⋮ Gruppenalgebren mit zentralem Radikal ⋮ On the Jacobson radical of a block ideal in a finite p-solvable group for \(p\geq 5\) ⋮ General theory of groups ⋮ Quotients, Cartan matrices and Morita equivalent blocks ⋮ On the nilpotency index of the radical of a group algebra. VII

Cites Work

• On the modular characters of groups
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Unnamed Item

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