Some remarks on the loewy series of projective modules for p-solvable groups

DOI10.1080/00927879708826079zbMath0904.20003OpenAlexW1991311522MaRDI QIDQ4384671

Akihiko Hida

Publication date: 18 November 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708826079

zbMATH Keywords

projective modules\(p\)-solvable groupsprojective coversindecomposable modulesLoewy seriesnilpotence index

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

• On Loewy series of group algebras of some solvable groups
• On loewy lengths of projective modules for p-solvable groups
• On the loewy series of the group algebra of a finite p-solvable group with p-length>1^∗
• On the loewy series of the group algebra of groups of smallp-Length^∗

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