Available versions of this document: latest release, release 3.5, nightly master

Reference documentation for older polymake versions: release 3.4, release 3.3, release 3.2

BigObject Group

from application group

Object encoding a finite group.

Symmetry

These properties capture information of the object that is concerned with the action of permutation groups.


CHARACTER_TABLE

The character table. NOTE: We do not support complex characters, but for the moment only real ones.

Type:

CONJUGACY_CLASS_SIZES

The sizes of the conjugacy classes

Type:

FACETS_ACTION

operates on indices

Type:

FACET_NORMALS_ACTION

operates on indices

Type:

HOMOGENEOUS_COORDINATE_ACTION

operates on indices, including the '0'-th homogeneous coordinate

Type:

IMPLICIT_SET_ACTION

an action on sets where only one representative for each orbit is stored

Type:

INEQUALITIES_ACTION

operates on indices

Type:

INPUT_CONES_ACTION

operates on indices

Type:

INPUT_RAYS_ACTION

operates on indices

Type:

MAXIMAL_CONES_ACTION
Type:

ORDER

The number of elements in the group

Type:

PERMUTATION_ACTION

a permutation action on integers

Type:

RAYS_ACTION

operates on indices

Type:

REGULAR_REPRESENTATION
Type:

SET_ACTION

a permutation action on a collection of sets of integers

Type:

SIMPLEXITY_LOWER_BOUND

The symmetrized version of SIMPLEXITY_LOWER_BOUND.

Type:
Int

VECTOR_ACTION

operates on indices

Type:

  • documentation/latest/group/group.txt
  • Last modified: 2019/08/13 10:31
  • (external edit)