[xgap] 5.10 GraphicSubgroupLattice, Information Menu

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# 5.10 GraphicSubgroupLattice, Information Menu

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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