<html><head><title>[xgap] 5.1 GraphicSubgroupLattice</title></head> <body text="#000000" bgcolor="#ffffff"> [<a href = "C005S000.htm">Up</a>] [<a href ="C005S002.htm">Next</a>] [<a href = "theindex.htm">Index</a>] <h1>5.1 GraphicSubgroupLattice</h1><p> <p> <a name = "SSEC1"></a> <li><code>GraphicSubgroupLattice( </code><var>g</var><code> )</code> <p> <code>GraphicSubgroupLattice</code> creates a new graphic sheet for the Hasse diagram of the subgroup lattice of <var>g</var>. The next sections describe how to select and move vertices and the following sections describe the available menus. <p> <pre> gap> GraphicSubgroupLattice( DihedralGroup(8) ); <graphic subgroup lattice "GraphicSubgroupLattice"> </pre> <p> <a name = "SSEC2"></a> <li><code>GraphicSubgroupLattice( </code><var>g</var><code>, </code><var>width</var><code>, </code><var>height</var><code> )</code> <p> In this form <code>GraphicSubgroupLattice</code> creates a graphic sheet of initial dimensions <var>width</var> times <var>height</var>. However it is still possible to change these dimensions later using either the menu (described in <a href="C005S008.htm">GraphicSubgroupLattice, Poset Menu</a>) or the operation <code>Resize</code> for graphic sheets (see <a href="C006S001.htm#SSEC14">Resize</a>). <p> 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. <p> In contrast to the <font face="Gill Sans,Helvetica,Arial">GAP</font>3 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 <code>All Subgroups</code> for the whole group. <p> <p> [<a href = "C005S000.htm">Up</a>] [<a href ="C005S002.htm">Next</a>] [<a href = "theindex.htm">Index</a>] <P> <address>xgap manual<br>Mai 2003 </address></body></html>
distrib
>
Mandriva
>
2010.0
>
i586
>
media
>
contrib-release
>
by-pkgid
>
5e1854624d3bc613bdd0dd13d1ef9ac7
>
files
>
3439
