Dear Forum,
GAP sometimes fails to find class fusions for character tables one of
which is modular:
-------------------------------------
c1:=CharacterTable(CyclicGroup(12));
c2:=CharacterTable("U3(11)");
PossibleClassFusions(c1,c2); # This line works fine (both
tables ordinary)
PossibleClassFusions(c1, c2 mod 11 ); # This one returns the following error:
-------------------------------------
Error, no method found! For debugging hints type ?Recovery from NoMethodFound
Error, no 1st choice method found for `ClassMultiplicationCoefficient'
on 4 arguments called from
ClassMultiplicationCoefficient( tbl, parm[i], parm[j], parm[kk] ) called from
ConsiderStructureConstants( subtbl, tbl, subgroupfusions, quick ) called from
PossibleClassFusions( subtbl, tbl, rec(
quick := false,
parameters := rec(
approxfus := [ ],
maxamb := 200000,
minamb := 10000,
maxlen := 10 ) ) ) called from
<function>( <arguments> ) called from read-eval-loop
Entering break read-eval-print loop ...
you can 'quit;' to quit to outer loop, or
you can 'return;' to continue
# A similar program returns no errors:
------------------------------------
c1:=CharacterTable(CyclicGroup(10));
c2:=CharacterTable("U3(11)");
PossibleClassFusions(c1,c2);
PossibleClassFusions(c1, c2 mod 11 );
-------------------------------------
Anvita
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