Conjectures on character degrees for the simple Thompson group.

zbMath1057.20005MaRDI QIDQ1431078

Katsuhiro Uno

Publication date: 27 May 2004

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

sporadic simple groupsnumbers of characterscharacter degreesDade conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Representations of sporadic groups (20C34)

Related Items (18)

Uno's invariant conjecture for Chevalley groups \(G_2(q)\) in nondefining characteristics. ⋮ Alperin weight conjecture and related developments ⋮ Conjectures on the character degrees of the Harada-Norton simple group \(HN\). ⋮ A note on Olsson's conjecture. ⋮ Nilpotent blocks of quasisimple groups for the prime two. ⋮ A reduction theorem for the Alperin weight conjecture. ⋮ The equivalence of some conjectures of Dade and Robinson. ⋮ Uno's invariant conjecture for Steinberg's triality groups in defining characteristic. ⋮ Dade's invariant conjecture for Steinberg's triality groups \(^3D_4(2^n)\) in defining characteristic. ⋮ Refinements of Dade's projective conjecture for \(p\)-solvable groups ⋮ Some refinements of Dade's projective conjecture. ⋮ A reduction theorem for Dade's projective conjecture ⋮ Blocks with extraspecial defect groups of finite quasisimple groups. ⋮ Modular representation theory of blocks with trivial intersection defect groups. ⋮ Uno's invariant conjecture for the general linear and unitary groups in nondefining characteris\-tics. ⋮ The AWC-goodness and essential rank of sporadic simple groups. ⋮ Odd radical subgroups of some sporadic simple groups. ⋮ The radical subgroups of the Fischer simple groups

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