Above the Glauberman correspondence.

DOI10.1016/j.aim.2007.10.001zbMath1149.20010OpenAlexW2038567773MaRDI QIDQ2474319

Alexandre Turull

Publication date: 5 March 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2007.10.001

zbMATH Keywords

Clifford theoryBrauer groupsirreducible complex charactersGlauberman correspondencefinite \(p\)-solvable groupsMcKay conjecturecharacter correspondencesSchur indices

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (20)

Certain irreducible characters over a normal subgroup ⋮ On Clifford theory with Galois action ⋮ The strengthened Alperin weight conjecture for \(p\)-solvable groups. ⋮ On the Harris-Knörr correspondence in \(p\)-solvable groups. ⋮ Degree divisibility in Alperin-McKay correspondences ⋮ Clifford theory and endoisomorphisms. ⋮ Divisibility of degrees in McKay correspondences ⋮ A reduction theorem for the Galois–McKay conjecture ⋮ On fully ramified Brauer characters. ⋮ The Brauer-Clifford group of \(G\)-rings. ⋮ LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS ⋮ Refinements of Dade's projective conjecture for \(p\)-solvable groups ⋮ Endoisomorphisms and character triple isomorphisms ⋮ The Navarro conjecture for the alternating groups ⋮ Corestriction for algebras with group action. ⋮ Character triple conjecture for \(p\)-solvable groups ⋮ Alternating sums over \(\pi\)-subgroups ⋮ Brauer character degrees and Sylow normalizers ⋮ On almost \(p\)-rational characters of \(p^{\prime}\)-degree ⋮ Morita equivalences related to the Glauberman correspondence.

Cites Work

• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Character correspondence and p-blocks of P-solvable groups
• Endo-permutation modules over p-groups. I
• Endo-permutation modules over p-groups. II
• New refinements of the McKay conjecture for arbitrary finite groups
• Character correspondences in solvable groups.
• Correspondences of Characters for Relatively Prime Operator Groups
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