TestCharTable( tbl )
tbl.centralizers
, tbl.classes
, tbl.orders
and the entries
of tbl.powermap
have same length,tbl.centralizers[i]
with tbl.classes[i]
is
equal to tbl.order
,tbl.orders[i]
divides tbl.centralizers[i]
,tbl.classnames
and the corresponding record fields
are consistent,tbl.irreducibles
is
satisfied,tbl.irreducibles
and
If no inconsistency occurs, true
is returned, otherwise each error is
signalled, and false
is returned at the end.
gap> t:= CharTable("A5");; TestCharTable(t); true gap> t.irreducibles[2]:= t.irreducibles[3] - t.irreducibles[1];; gap> TestCharTable(t); #E TestCharTable(A5): Scpr( ., X[2], X[1] ) = -1 #E TestCharTable(A5): Scpr( ., X[2], X[2] ) = 2 #E TestCharTable(A5): Scpr( ., X[3], X[2] ) = 1 #E TestCharTable(A5): centralizer orders inconsistent with irreducibles false
GAP 3.4.4