3-blocks and 3-modular characters of \(G_ 2(q)\)

DOI10.1016/0021-8693(90)90181-MzbMath0711.20008MaRDI QIDQ923127

Josephine Shamash, Gerhard Hiss

Publication date: 1990

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

zbMATH Keywords

cyclic defect groupsirreducible Brauer charactersBrauer treesfinite Chevalley group3-blocksp-modular characters

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items

Uno's invariant conjecture for Chevalley groups \(G_2(q)\) in nondefining characteristics., Cross-characteristic representations of \(\mathrm{Sp}_6(2^a)\) and their restrictions to proper subgroups., The inductive blockwise Alperin weight condition for \(G_{2}(q)\) and \(^3D_4(q)\), Blocks and brauer trees for the groupsG₂(2^k), G₂(3^k), On a Theorem of Feit and Tits, On the number of characters in blocks of quasi-simple groups, Proving a conjecture for fusion systems on a class of groups, On recognition of \(L_4(q)\) and \(U_4(q)\) by spectrum, Irreducible restrictions of Brauer characters of the Chevalley group \(G_2(q)\) to its proper subgroups., On the number of simple modules in a block of a finite group, On Loewy lengths of blocks, Isometries and extra special Sylow groups of order \(p^3\)., Principal blocks with 5 irreducible characters, Blocks with equal height zero degrees

Cites Work

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• On quotients of Hom-functors and representations of finite general linear groups. I
• On the decomposition numbers of \(G_ 2(q)\)
• Brauer trees for blocks of cyclic defect in the groups \(G_ 2(q)\) for primes dividing \(q^ 2\pm q+1\)
• Blocks and brauer trees in the groupsG₂(q) for primes dividingq±1
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)