Cartan invariants of group algebras of finite groups

DOI10.1090/S0002-9939-96-03401-6zbMath0859.20004OpenAlexW2091238957MaRDI QIDQ4896146

Shigeo Koshitani

Publication date: 9 April 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03401-6

zbMATH Keywords

finite groupssimple modulesprojective coversCartan invariantLoewy length

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

On Loewy lengths of blocks ⋮ Finite groups whose first Cartan invariants over a field of characteristic two are two. ⋮ The Projective Cover of the Trivial Module Over a Group Algebra of a Finite Group

Cites Work

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• Unzerlegbare Moduln über artinschen Ringen
• On blocks of finite groups with radical cube zero
• Group algebras with radicals of square zero
• The Cartan Matrix of a Group Algebra Modulo Any Power of its Radical
• Group algebras of finite p-solvable groups with radicals of the fourth power zero
• The Auslander-Reiten quiver of a finite group

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