PrimeBlocks( tbl, prime )
PrimeBlocks( tbl, chars, prime )
For a character table tbl and a prime prime, PrimeBlocks( tbl,
chars, prime )
returns a record with fields
block
:chars[i]
belongs to the n-th prime-block
defect
:
PrimeBlocks( tbl, prime )
does the same for chars =
tbl.irreducibles
, and additionally the result is stored in the
irredinfo
field of tbl.
gap> t:= CharTable( "A5" );; gap> PrimeBlocks( t, 2 ); PrimeBlocks( t, 3 ); PrimeBlocks( t, 5 ); rec( block := [ 1, 1, 1, 2, 1 ], defect := [ 2, 0 ] ) rec( block := [ 1, 2, 3, 1, 1 ], defect := [ 1, 0, 0 ] ) rec( block := [ 1, 1, 1, 1, 2 ], defect := [ 1, 0 ] ) gap> InverseMap( last.block ); # distribution of characters to blocks [ [ 1, 2, 3, 4 ], 5 ]
If InfoCharTable2 = Print
, the defects of the blocks and the heights of
the contained characters are printed.
GAP 3.4.4