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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.
Properties
Symmetry
These properties capture information of the object that is concerned with the action of permutation groups.
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CHARACTER_TABLE The character table. NOTE: We do not support complex characters, but for the moment only real ones.
- Type:
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CONJUGACY_CLASS_SIZES The sizes of the conjugacy classes
- Type:
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FACETS_ACTION operates on indices
- Type:
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FACET_NORMALS_ACTION operates on indices
- Type:
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HOMOGENEOUS_COORDINATE_ACTION operates on indices, including the '0'-th homogeneous coordinate
- Type:
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IMPLICIT_SET_ACTION an action on sets where only one representative for each orbit is stored
- Type:
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INEQUALITIES_ACTION operates on indices
- Type:
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INPUT_CONES_ACTION operates on indices
- Type:
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INPUT_RAYS_ACTION operates on indices
- Type:
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MAXIMAL_CONES_ACTION - Type:
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ORDER The number of elements in the group
- Type:
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PERMUTATION_ACTION a permutation action on integers
- Type:
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RAYS_ACTION operates on indices
- Type:
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REGULAR_REPRESENTATION - Type:
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SET_ACTION a permutation action on a collection of sets of integers
- Type:
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SIMPLEXITY_LOWER_BOUND The symmetrized version of
SIMPLEXITY_LOWER_BOUND.- Type:
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VECTOR_ACTION operates on indices
- Type: