Powermap( tbl, prime )
Powermap( tbl, prime, parameters )
returns a list of possibilities for the prime-th powermap of the character table tbl.
The optional record parameters may have the following fields:
chars
:tbl.irreducibles
powermap
:
decompose
:true
, the symmetrisations of chars
must have all
constituents in chars
, that will be used in the algorithm;
if chars
is not bound and tbl.irreducibles
is complete,
the default value of decompose
is true
, otherwise false
quick
:true
, the subroutines are called with the option
"quick"
; especially, a unique map will be returned immediately
without checking all symmetrisations; the default value is false
parameters
:maxamb
, minamb
and maxlen
which control
the subroutine PowermapsAllowedBySymmetrisations:
It only uses characters with actual indeterminateness up to
maxamb
, tests decomposability only for characters with actual
indeterminateness at least minamb
and admits a branch only
according to a character if there is one with at most maxlen
possible minus-characters.
# cf.\ example in "InitPowermap" gap> t:= CharTable( "U4(3).4" );; gap> pow:= Powermap( t, 2 ); [ [ 1, 1, 3, 4, 5, 2, 2, 8, 3, 4, 11, 12, 6, 14, 9, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 9, 10, 11, 12, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 20, 20, 20, 20, 22, 22, 24, 24, 25, 26, 28, 28, 29, 29 ] ]
GAP 3.4.4