Principal 2-Blocks of the Simple Groups of Ree Type

DOI10.2307/1999877zbMath0438.20007OpenAlexW4246058482MaRDI QIDQ3879428

Gerhard O. Michler, Peter Landrock

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/1999877

zbMATH Keywords

Loewy lengthsindecomposable projective modulesGreen correspondenceLoewy seriesgroups of Ree typeabelian Sylow 2-subgroupsprincipal 2-blockdecomposition matrices of blocks

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (28)

Groups whose Brauer-characters are liftable ⋮ Cartan invariants and central ideals of group algebras. ⋮ Representations of finite groups ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ On the decomposition numbers of \(G_ 2(q)\) ⋮ Degrees of characters in the principal block ⋮ Some examples of Picard groups of blocks ⋮ Growth of cross-characteristic representations of finite quasisimple groups of Lie type. ⋮ Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\). ⋮ James' submodule theorem and the Steinberg module ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ Loewy lengths of blocks with abelian defect groups ⋮ 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle ⋮ On the decomposition numbers of the Ree groups \(^2F_4(q^2)\) in non-defining characteristic. ⋮ A reduction theorem for the Alperin weight conjecture. ⋮ First cohomology groups of Chevalley groups in cross characteristic. ⋮ 2-blocks with abelian defect groups. ⋮ Eigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups. ⋮ The depth of the maximal subgroups of Ree groups ⋮ On the cohomology of the finite Chevalley groups ⋮ Brauer characters with cyclotomic field of values. ⋮ On a conjecture of G. E. Wall. ⋮ Irreducible restrictions of Brauer characters of the Chevalley group \(G_2(q)\) to its proper subgroups. ⋮ On the modular composition factors of the Steinberg representation ⋮ On degrees of irreducible Brauer characters ⋮ Morita equivalence classes of $2$-blocks of defect three ⋮ Simple modules for groups with Abelian Sylow 2-subgroups are algebraic. ⋮ The vertices of the simple modules of \(M_{12}\) over a field of characteristic 2

This page was built for publication: Principal 2-Blocks of the Simple Groups of Ree Type