51.18 InitFusion

InitFusion( subtbl, tbl )

More about Maps and Parametrized Maps) first approximation of of the subgroup fusion from the character table subtbl into the character table tbl, using that for any class i of subtbl, the centralizer order of the image is a multiple of the centralizer order of i and the element order of i is equal to the element order of its image (used only if element orders are stored on the tables).

If no fusion map is possible because of these properties, false is returned. Otherwise InitFusion returns the parametrized map.

    gap> s:= CharTable( "2F4(2)" );; ru:= CharTable( "Ru" );;
    gap> fus:= InitFusion( s, ru );
    [ 1, 2, 2, 4, [ 5, 6 ], [ 5, 6, 7, 8 ], [ 5, 6, 7, 8 ], [ 9, 10 ], 
      11, 14, 14, [ 13, 14, 15 ], [ 16, 17 ], [ 18, 19 ], 20, [ 25, 26 ],
      [ 25, 26 ], [ 5, 6 ], [ 5, 6 ], [ 5, 6 ], [ 5, 6, 7, 8 ],
      [ 13, 14, 15 ], [ 13, 14, 15 ], [ 18, 19 ], [ 18, 19 ], [ 25, 26 ],
      [ 25, 26 ], [ 27, 28, 29 ], [ 27, 28, 29 ] ]

InitFusion is used by SubgroupFusions SubgroupFusions.

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