groups and group actions, induced group actions More...

Namespaces
namespace	actions
	a specific group action

namespace	data_structures_groups
	data structures for groups and group actions.

namespace	groups
	an implementation of various types of permutation groups using stabilizer chains

namespace	induced_actions
	offers various kinds of induced group actions

Classes
union	symmetry_group
	interface for the various types of group actions More...

Enumerations
enum	symmetry_group_type { unknown_symmetry_group_t , matrix_group_t , perm_group_t , wreath_product_t , direct_product_t , permutation_representation_t , action_on_sets_t , action_on_subgroups_t , action_on_k_subsets_t , action_on_pairs_t , action_on_ordered_pairs_t , base_change_t , product_action_t , action_by_right_multiplication_t , action_by_restriction_t , action_by_conjugation_t , action_on_determinant_t , action_on_galois_group_t , action_on_sign_t , action_on_grassmannian_t , action_on_spread_set_t , action_on_orthogonal_t , action_on_cosets_t , action_on_factor_space_t , action_on_wedge_product_t , action_by_representation_t , action_by_subfield_structure_t , action_on_bricks_t , action_on_andre_t , action_on_orbits_t , action_on_flags_t , action_on_homogeneous_polynomials_t , action_on_set_partitions_t , action_on_interior_direct_product_t }
	enumeration to distinguish between the various types of group actions More...

enum	representation_type { representation_type_nothing , representation_type_PSL2_on_conic }
	enumeration specific to action_by_representation More...

enum	shallow_schreier_tree_strategy { shallow_schreier_tree_standard , shallow_schreier_tree_Seress_deterministic , shallow_schreier_tree_Seress_randomized , shallow_schreier_tree_Sajeeb }
	the strategy which is employed to create shallow Schreier trees More...

enum	permutation_group_type { unknown_permutation_group_t , symmetric_group_t , bsgs_t }
	enumeration to distinguish between the various types of permutation groups More...

Detailed Description

groups and group actions, induced group actions

Enumeration Type Documentation

◆ permutation_group_type

enum orbiter::layer3_group_actions::permutation_group_type

enumeration to distinguish between the various types of permutation groups

Enumerator
unknown_permutation_group_t
symmetric_group_t
bsgs_t

Definition at line 186 of file group_actions.h.

◆ representation_type

enum orbiter::layer3_group_actions::representation_type

enumeration specific to action_by_representation

Enumerator
representation_type_nothing
representation_type_PSL2_on_conic

Definition at line 167 of file group_actions.h.

◆ shallow_schreier_tree_strategy

enum orbiter::layer3_group_actions::shallow_schreier_tree_strategy

the strategy which is employed to create shallow Schreier trees

Enumerator
shallow_schreier_tree_standard
shallow_schreier_tree_Seress_deterministic
shallow_schreier_tree_Seress_randomized
shallow_schreier_tree_Sajeeb

Definition at line 174 of file group_actions.h.

◆ symmetry_group_type

enum orbiter::layer3_group_actions::symmetry_group_type

enumeration to distinguish between the various types of group actions

Enumerator
unknown_symmetry_group_t
matrix_group_t
perm_group_t
wreath_product_t
direct_product_t
permutation_representation_t
action_on_sets_t
action_on_subgroups_t
action_on_k_subsets_t
action_on_pairs_t
action_on_ordered_pairs_t
base_change_t
product_action_t
action_by_right_multiplication_t
action_by_restriction_t
action_by_conjugation_t
action_on_determinant_t
action_on_galois_group_t
action_on_sign_t
action_on_grassmannian_t
action_on_spread_set_t
action_on_orthogonal_t
action_on_cosets_t
action_on_factor_space_t
action_on_wedge_product_t
action_by_representation_t
action_by_subfield_structure_t
action_on_bricks_t
action_on_andre_t
action_on_orbits_t
action_on_flags_t
action_on_homogeneous_polynomials_t
action_on_set_partitions_t
action_on_interior_direct_product_t

Definition at line 128 of file group_actions.h.

Namespaces