51.19 CheckPermChar

CheckPermChar( subtbl, tbl, fusionmap, permchar )

Maps and Parametrized Maps) from the character table subtbl into the character table tbl using the permutation character permchar that belongs to the required fusion: A possible image x of class i is excluded if class i is too large, and a possible image y of class i is the right image if y must be the image of em all classes where y is a possible image.

CheckPermChar returns true if no inconsistency occurred, and false otherwise.

    gap> fus:= InitFusion( s, ru );; # cf. example in "InitFusion"
    gap> permchar:= Sum( Sublist( ru.irreducibles, [ 1, 5, 6 ] ) );;
    gap> CheckPermChar( s, ru, fus, permchar );; fus;
    [ 1, 2, 2, 4, 5, 7, 8, 9, 11, 14, 14, [ 13, 15 ], 16, [ 18, 19 ], 20, 
      [ 25, 26 ], [ 25, 26 ], 5, 5, 6, 8, 14, [ 13, 15 ], [ 18, 19 ],
      [ 18, 19 ], [ 25, 26 ], [ 25, 26 ], 27, 27 ]

CheckPermChar is used by SubgroupFusions SubgroupFusions.

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