On 2-Blocks with Semidihedral Defect Groups
Copyright policy )On 2-Blocks with Semidihedral Defect Groups
Let G be one of the following groups: L 3 ( q ) {L_3}(q) and G L ( 2 , q ) GL(2,\,q) with q ≡ 3 ( mod 4 ) q\, \equiv \,3\,(\bmod \,4) , U 3 ( q ) {U_3}(q) and G U ( 2 , q ) GU(2,\,q) with q ≡ 1 ( mod 4 ) q\, \equiv \,1\,(\bmod \,4) . This paper is concerned with 2-blocks B of G having semidihedral defect groups. In particular, vertices, sources and Green correspondents of the simple modules in B are determined and used to obtain the submodule structure of the indecomposable projective modules.
Linear algebraic groups over finite fields, Modular representations and characters, Group rings of finite groups and their modules (group-theoretic aspects)
Linear algebraic groups over finite fields, Modular representations and characters, Group rings of finite groups and their modules (group-theoretic aspects)
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