induced_actions.h File Reference

Go to the source code of this file.

Classes
class	orbiter::layer3_group_actions::induced_actions::action_by_conjugation
	induced action by conjugation on the elements of a given group More...
class	orbiter::layer3_group_actions::induced_actions::action_by_representation
	induced action of PSL(2,q) on a conic (the only type implemented so far) More...
class	orbiter::layer3_group_actions::induced_actions::action_by_restriction
	restricted action on an invariant subset More...
class	orbiter::layer3_group_actions::induced_actions::action_by_right_multiplication
	induced action on a the set of elements of a group by right multiplication More...
class	orbiter::layer3_group_actions::induced_actions::action_by_subfield_structure
	induced action on the vector space arising from a field over a subfield More...
class	orbiter::layer3_group_actions::induced_actions::action_on_andre
	induced action on the elements of a projective plane constructed via Andre / Bruck / Bose More...
class	orbiter::layer3_group_actions::induced_actions::action_on_bricks
	related to a problem of Neil Sloane More...
class	orbiter::layer3_group_actions::induced_actions::action_on_cosets
	induced action on the cosets of a subspace by right multiplication More...
class	orbiter::layer3_group_actions::induced_actions::action_on_determinant
	induced action on the determinant of a group of matrices (used to compute the subgroup PSL) More...
class	orbiter::layer3_group_actions::induced_actions::action_on_factor_space
	induced action on the factor space of a vector space modulo a subspace More...
class	orbiter::layer3_group_actions::induced_actions::action_on_flags
	induced action on flags More...
class	orbiter::layer3_group_actions::induced_actions::action_on_galois_group
	induced action on the galois group (used to compute the projectivity subgroup of a collineation group) More...
class	orbiter::layer3_group_actions::induced_actions::action_on_grassmannian
	induced action on the grassmannian (subspaces of a fixed dimension of a vectors space) More...
class	orbiter::layer3_group_actions::induced_actions::action_on_homogeneous_polynomials
	induced action on the set of homogeneous polynomials over a finite field More...
class	orbiter::layer3_group_actions::induced_actions::action_on_interior_direct_product
	induced action on the interior direct product More...
class	orbiter::layer3_group_actions::induced_actions::action_on_k_subsets
	induced action on k-subsets of a set of size n More...
class	orbiter::layer3_group_actions::induced_actions::action_on_orbits
	induced action on the set of orbits (usually by the normalizer) More...
class	orbiter::layer3_group_actions::induced_actions::action_on_orthogonal
	induced action on the orthogonal geometry More...
class	orbiter::layer3_group_actions::induced_actions::action_on_set_partitions
	induced action on a set partitions. More...
class	orbiter::layer3_group_actions::induced_actions::action_on_sets
	induced action on a given set of sets. More...
class	orbiter::layer3_group_actions::induced_actions::action_on_sign
	induced action on the sign function of a permutation group (to compute the even subgroup) More...
class	orbiter::layer3_group_actions::induced_actions::action_on_spread_set
	induced action on a spread set via the associated spread More...
class	orbiter::layer3_group_actions::induced_actions::action_on_subgroups
	induced action on subgroups of a group More...
class	orbiter::layer3_group_actions::induced_actions::action_on_wedge_product
	induced wedge product action on the exterior square of a vector space More...
class	orbiter::layer3_group_actions::induced_actions::product_action
	induced product action of two group actions More...

Namespaces
namespace	orbiter
	the orbiter library for the classification of combinatorial objects
namespace	orbiter::layer3_group_actions
	groups and group actions, induced group actions
namespace	orbiter::layer3_group_actions::induced_actions
	offers various kinds of induced group actions

Functions
int	orbiter::layer3_group_actions::induced_actions::action_on_sets_compare (void *a, void *b, void *data)
int	orbiter::layer3_group_actions::induced_actions::action_on_sets_compare_inverted (void *a, void *b, void *data)
int	orbiter::layer3_group_actions::induced_actions::action_on_subgroups_compare (void *a, void *b, void *data)
int	orbiter::layer3_group_actions::induced_actions::action_on_subgroups_compare_inverted (void *a, void *b, void *data)