Quadratic geometries, projective modules, and idempotents

DOI10.1006/jabr.1993.1187zbMath0820.20004OpenAlexW2050143733MaRDI QIDQ687675

Roderick Gow, Wolfgang Willems

Publication date: 11 September 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1187

zbMATH Keywords

idempotentsgroup algebrasfinite groupsprojective modulesquadratic formsirreducible modulescharacteristic twoliftability to characteristic zeroquadratic geometriesquadratic type

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Other finite incidence structures (geometric aspects) (51E30)

Related Items (13)

Self-dual modules in characteristic two and normal subgroups ⋮ Projective indecomposable modules, Scott modules and the Frobenius-Schur indicator. ⋮ Symmetric bilinear forms and vertices in characteristic 2 ⋮ The indecomposable symplectic and quadratic modules of the Klein-four group ⋮ On group codes with complementary duals ⋮ ON HIGHER FROBENIUS–SCHUR INDICATORS ⋮ The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups ⋮ Characters, bilinear forms and solvable groups ⋮ On a result of Kiyota, Okuyama and Wada. ⋮ Quadratic principal indecomposable modules and strongly real elements of finite groups ⋮ Finite groups whose first Cartan invariants over a field of characteristic two are two. ⋮ Involutions, cohomology and metabolic spaces. ⋮ The trivial intersection problem for characters of principal indecomposable modules.

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