Block induction, normal subgroups and characters of height zero
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Publication:1333606
zbMath0830.20008MaRDI QIDQ1333606
Publication date: 21 January 1996
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
finite groupssource\(p\)-modular systemsirreducible constituentsvertexblocks with Abelian defect groupscharacters of height zeroinduced blocks\(kG\)-modules\(RG\) latticesblock linkagegroups of \(p\)-length oneindecomposable modules of height zero
Group rings (16S34) (p)-adic representations of finite groups (20C11) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (18)
Self-dual modules in characteristic two and normal subgroups ⋮ On normal subgroups and height zero Brauer characters in a \(p\)-solvable group. ⋮ Real groups and Sylow 2-subgroups ⋮ Characters and Sylow 2-subgroups of maximal class revisited ⋮ Quasi-isolated blocks and Brauer's height zero conjecture. ⋮ Height-zero characters and normal subgroups in \(p\)-solvable groups. ⋮ Character heights and \(p\)-length in blocks of \(p\)-solvable groups. ⋮ Principal blocks for different primes. II ⋮ Minimal heights and defect groups with two character degrees ⋮ The heights of irreducible Brauer characters in 2-blocks of the symmetric groups. ⋮ Correspondences of isomorphism types of irreducible modules in finite group block theory. ⋮ Height zero characters in principal blocks ⋮ On Brauer's height zero conjecture. ⋮ Groups with few 𝑝’-character degrees in the principal block ⋮ Simple proofs of some theorems in block theory of finite groups. ⋮ Dade's ordinary conjecture implies the Alperin-McKay conjecture ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture. ⋮ On the projective height zero conjecture
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