documentation:release:3.6:group:group

Available versions of this document: latest release, release 4.11, release 4.10, release 4.9, release 4.8, release 4.7, release 4.6, release 4.5, release 4.4, release 4.3, release 4.2, release 4.1, release 4.0, release 3.6, 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.

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/release/3.6/group/group.txt
  • Last modified: 2019/11/15 22:01
  • by 127.0.0.1