groups.h File Reference

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Classes
class	orbiter::layer3_group_actions::groups::direct_product
	the direct product of two matrix groups in product action More...
class	orbiter::layer3_group_actions::groups::exceptional_isomorphism_O4
	exceptional isomorphism between orthogonal groups: O4, O5 and GL(2,q) More...
class	orbiter::layer3_group_actions::groups::linear_group_description
	description of a linear group from the command line More...
class	orbiter::layer3_group_actions::groups::linear_group
	creates a linear group from command line arguments using linear_group_description More...
class	orbiter::layer3_group_actions::groups::matrix_group
	a matrix group over a finite field in projective, vector space or affine action More...
class	orbiter::layer3_group_actions::groups::orbits_on_something
	compute orbits of a group in a given action; allows file io More...
class	orbiter::layer3_group_actions::groups::permutation_group_create
	a domain for permutation groups whose elements are given in the permutation representation More...
class	orbiter::layer3_group_actions::groups::permutation_group_description
	a domain for permutation groups whose elements are given in the permutation representation More...
class	orbiter::layer3_group_actions::groups::permutation_representation_domain
	a domain for permutation groups whose elements are given in the permutation representation More...
class	orbiter::layer3_group_actions::groups::permutation_representation
	homomorphism to a permutation group More...
class	orbiter::layer3_group_actions::groups::schreier
	Schreier trees for orbits of groups on points. More...
class	orbiter::layer3_group_actions::groups::schreier_sims
	Schreier Sims algorithm to create the stabilizer chain of a permutation group. More...
class	orbiter::layer3_group_actions::groups::sims
	a permutation group represented via a stabilizer chain More...
class	orbiter::layer3_group_actions::groups::strong_generators
	a strong generating set for a permutation group with respect to a fixed action More...
class	orbiter::layer3_group_actions::groups::subgroup
	a subgroup of a group using a list of elements More...
class	orbiter::layer3_group_actions::groups::sylow_structure
	The Sylow structure of a finite group. More...
class	orbiter::layer3_group_actions::groups::wreath_product
	the wreath product group GL(d,q) wreath Sym(n) 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::groups
	an implementation of various types of permutation groups using stabilizer chains

Functions
void	orbiter::layer3_group_actions::groups::choose_random_generator_derived_group (sims *G, int *Elt, int verbose_level)