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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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    xgap manual
    Mai 2003