48.19 CharTableRegular

CharTableRegular( tbl, prime )

returns the character table consisting of the prime-regular classes of the character table tbl.

    gap> a5:= CharTable( "Alternating", 5 );;
    gap> PrintCharTable( CharTableRegular( a5, 2 ) );
    rec( identifier := "Regular(A5,2)", prime := 2, size := 60, orders :=
    [ 1, 3, 5, 5 ], centralizers := [ 60, 3, 5, 5 ], powermap :=
    [ , [ 1, 2, 4, 3 ], [ 1, 1, 4, 3 ],, [ 1, 2, 1, 1 ] ], fusions :=
    [ rec(
          map := [ 1, 3, 4, 5 ],
          type := "choice",
          name := "A5" )
     ], ordinary := CharTable( "A5" ), operations := CharTableOps, order :\
    = 60, name := "Regular(A5,2)", classes := [ 1, 20, 12, 12 ] )
    gap> a5.fusionsource;
    [ "Regular(A5,2)" ]

Previous Up Top Next
Index

GAP 3.4.4
April 1997