Vertices for characters of $p$-solvable groups

DOI10.1090/S0002-9947-02-02974-4zbMath0998.20012OpenAlexW1504074600MaRDI QIDQ2782662

Gabriel Navarro

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-02974-4

zbMATH Keywords

defect groupsblocksirreducible complex characters\(\pi\)-special charactersinduced charactersverticesnucleifinite \(p\)-solvable groupsradical \(p\)-subgroupsirreducible modular characters\(\pi\)-factorable characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items

Bounds on the number of lifts of a Brauer character in a \(p\)-solvable group., Height-zero characters and normal subgroups in \(p\)-solvable groups., The uniqueness of vertex pairs in π-separable groups, The construction of nuclei for normal constituents of \(B_\pi\)-characters, Navarro vertices and lifts in solvable groups, Lifts of Brauer characters in characteristic two, A new character correspondence in groups of odd order., Subnormal Inductive Sources and π-Partial Characters, Irreducible characters and normal subgroups in groups of odd order., Modularly irreducible characters and normal subgroups., Vertices of π-Irreducible Characters of Groups of Odd Order, Inductive pairs and lifts in solvable groups, Anchors of irreducible characters, Vertices for irreducible characters of a class of blocks., Nuclei and Lifts of π-Partial Characters, OBTAINING NUCLEI FROM CHAINS OF NORMAL SUBGROUPS, Lifts and vertex pairs in solvable groups, Induction and Restriction of Lifts of π-Partial Characters

Cites Work

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