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MathematicsSubgroups used during the computation of the 2modular character table of Fi_{23}During the computation of the 2modular character table of the sporadic simple group Fi_{23} Gerhard Hiß, Felix Noeske and myself used several subgroups. This page is to document which groups were used exactly. The groups are described by GAP straight line programs in terms of standard generators for Fi_{23} in the sense of Rob Wilson's Atlas of Group Representations. From this page one can download a GAP program that contains those straight line programs together with instructions for use. Use for example as follows in GAP: gap> LoadPackage("atlasrep"); gap> Read("fi23slps.g"); gap> gens := AtlasGenerators("Fi23",1).generators;; gap> ngens := ResultOfStraightLineProgram(fi23_m7,gens);; gap> kgens := ResultOfStraightLineProgram(m7_k,ngens);; gap> sygens := ResultOfStraightLineProgram(m7_sy,ngens);; gap> ugens := ResultOfStraightLineProgram(sy_u,sygens);; gap> coreps := ResultOfStraightLineProgram(reps,gens);; After that,


Max Neunhöffer Last updated: Fri Jun 29 14:15:48 2012 