CoxeterWords( W )
returns the list of all elements in the Coxeter group W. The ordering
is the same as that given by concatenating the lists of elements of
length 0,1,ldots obtained by the function CoxeterElementsLength
.
gap> CoxeterWords( CoxeterGroup( "G", 2 ) ); [ [ ], [ 2 ], [ 1 ], [ 2, 1 ], [ 1, 2 ], [ 2, 1, 2 ], [ 1, 2, 1 ], [ 2, 1, 2, 1 ], [ 1, 2, 1, 2 ], [ 2, 1, 2, 1, 2 ], [ 1, 2, 1, 2, 1 ], [ 1, 2, 1, 2, 1, 2 ] ]
This function requires the package "chevie" (see RequirePackage).
GAP 3.4.4