GraphicSubgroupLattice(
g )
GraphicSubgroupLattice
creates a new graphic sheet for the Hasse
diagram of the subgroup lattice of g. The next sections describe
how to select and move vertices and the following sections describe the
available menus.
gap> GraphicSubgroupLattice( DihedralGroup(8) ); <graphic subgroup lattice "GraphicSubgroupLattice">
GraphicSubgroupLattice(
g,
width,
height )
In this form GraphicSubgroupLattice
creates a graphic sheet of initial
dimensions width times height. However it is still possible to change
these dimensions later using either the menu (described in
GraphicSubgroupLattice, Poset Menu) or the operation Resize
for graphic
sheets (see Resize).
This function is the same for all types of groups. It only behaves differently according to some properties of the group. For example finitely presented groups are treated differently because other algorithms apply in this case and some of the standard ones are not feasible to be carried out.
In contrast to the GAP3 version of XGAP all graphic subgroup lattices
are interactive so you can always remove vertices. For a finite group you
can still get the full lattice by choosing All Subgroups
for the whole
group.
xgap manual