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.

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CHARACTER_TABLE

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

Type:

Matrix<QuadraticExtension<Rational>,NonSymmetric>

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CONJUGACY_CLASS_SIZES

The sizes of the conjugacy classes

Type:

Array<Int>

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FACETS_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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FACET_NORMALS_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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HOMOGENEOUS_COORDINATE_ACTION

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

Type:

PermutationAction<Int,Rational>

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IMPLICIT_SET_ACTION

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

Type:

ImplicitActionOnSets

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INEQUALITIES_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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INPUT_CONES_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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INPUT_RAYS_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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MAXIMAL_CONES_ACTION

Type:

PermutationAction<Int,Rational>

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ORDER

The number of elements in the group

Type:

Integer

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PERMUTATION_ACTION

a permutation action on integers

Type:

PermutationAction<Int,Rational>

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RAYS_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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REGULAR_REPRESENTATION

Type:

MatrixActionOnVectors<Rational>

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SET_ACTION

a permutation action on a collection of sets of integers

Type:

PermutationAction<Set<Int>,Rational>

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SIMPLEXITY_LOWER_BOUND

The symmetrized version of SIMPLEXITY_LOWER_BOUND.

Type:

Int

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VECTOR_ACTION

operates on indices

Type:

PermutationAction<Int,Rational>

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