Blocks and brauer trees for the groupsG2(2k), G2(3k)

DOI10.1080/00927879208824409zbMath0770.20011OpenAlexW1499206926MaRDI QIDQ4005842

Josephine Shamash

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824409

zbMATH Keywords

blocksChevalley groupsBrauer treescyclic \(p\)-blocks

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (9)

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 \(^3D_4(q)\) ⋮ The Brauer trees of the exceptional Chevalley groups of type \(E_ 6\) ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ 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. ⋮ The trivial intersection problem for characters of principal indecomposable modules. ⋮ Principal blocks with 5 irreducible characters ⋮ Blocks and brauer trees in the groupsG₂(q) for primes dividingq±1

Cites Work

• 3-blocks and 3-modular characters of \(G_ 2(q)\)
• On the decomposition numbers of \(G_ 2(q)\)
• The number of trivial composition factors of the Steinberg module
• Brauer trees for blocks of cyclic defect in the groups \(G_ 2(q)\) for primes dividing \(q^ 2\pm q+1\)
• The conjugate classes of Chevalley groups of type \((G_2)\)
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• Blocks and brauer trees in the groupsG₂(q) for primes dividingq±1

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