Note that this section does not deal with the case of a finitely presented group. See GraphicSubgroupLattice for FpGroups, Information Menu for this case.
Placing the pointer inside a vertex (selected or not) and pressing the
right mouse button pops up the ``Information'' menu. Clicking on any of
the text lines will compute the corresponding property of the subgroup
u associated with this vertex. Clicking on all
will compute all
properties, clicking on close
will close the ``Information'' menu.
Size
computes and displays the size of u. See also Size in the GAP reference manual.
Index
computes and displays the index of u in the whole group. See also IndexInWholeGroup in the GAP reference manual.
IsAbelian
IsCyclic
IsNilpotent
IsPerfect
IsSimple
IsSolvable
computes and displays the corresponding property of u. See also IsAbelian, IsCyclic, IsNilpotentGroup, IsPerfectGroup, IsSimpleGroup, and IsSolvableGroup in the GAP reference manual.
IsCentral
IsNormal
computes and displays the corresponding property of u with respect to the whole group. See also IsCentral and IsNormal in the GAP reference manual.
Isomorphism
computes and displays the isomorphism type of u. This will only work if the size of u is small. See IdGroup in the GAP reference manual for details.
Note that the exact result of all these information displays is stored in
the global variable LastResultOfInfoDisplay
after each operation. So you
can access this easily from the GAP command prompt. It is also returned
as last
value.
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