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More Recently modified knowls
A
group.a_group A-group
group.abelian Abelian group
group.abelianization Abelianization
group.abelianization_isolabel Abelianization label
group.galois.absolute Absolute Galois group
group.name Abstract group name
group.almost_simple Almost simple group
group.alternating Alternating group
group.ambient Ambient group
group.ambient_isolabel Ambient group label
group.autjugacy_class Autjugacy class
group.autjugate_subgroup Autjugate subgroups
group.automorphism Automorphisms of a group
C
group.center_isolabel Center label
group.representation.center Center of a character
group.center Center of a group
group.central_quotient Central quotient
group.central_quotient_isolabel Central quotient label
group.central Central subgroup
group.centralizer Centralizer of a subgroup
group.subgroup.centralizer Centralizer of a subgroup
group.representation.character Character of a group representation
group.characteristic_subgroup Characteristic subgroup
group.chief_series Chief series of a group
group.commutator_isolabel Commutator label
group.commutator_length Commutator length
group.commutator_subgroup Commutator subgroup of a group
group.subgroup.complement Complement
group.complete Complete group
group.complex_character_table Complex character table of a finite group
group.representation.irrep Complex irreducible representation
group.division_computing_labels Computing labels of divisions of a group
group.computing_subgroup_labels Computing labels of subgroups
group.conjugacy_class Conjugacy class
group.core Core of a subgroup
group.coset Coset of a subgroup
group.cyclic Cyclic group
D
group.small.data Data on small group
group.representation.complex_char_deg Degree of a character
group.derived_series Derived series of a group
group.dicyclic Dicyclic group
group.dihedral Dihedral group
group.direct_product Direct product of groups
group.division Divisions of a group
E
group.elementary Elementary group
group.exponent Exponent of a group
F
group.order_factorization Factorization of the group order
group.representation.faithful Faithful representation
group.find_input Find an abstract group
group.lie_type Finite Lie Group Names
group.fitting_subgroup Fitting subgroup of a group
group.frattini_subgroup Frattini subgroup of a group
group.fuchsian Fuchsian group
group.fuchsian.fundamental_domain Fundamental domain
group.sl2z.fundamental_domain Fundamental domain of $\SL(2,\Z)$
G
group.gassmann_equivalence Gassmann equivalence
group.generalized_quaternion Generalized quaternion
group.generators Generators of a group
group.permutation_gens Generators of permutation group
group.sl2z.genus_subgroup Genus of a subgroup of the modular group
group.homomorphism Group homomorphism
group.isomorphism Group isomorphism
group.group_ring group ring
group.about Groups
H
group.subgroup.hall Hall subgroup
group.hyperelementary Hyperelementary group
I
group.representation.image Image of a representation
group.subgroup.index Index of a subgroup
group.inner_automorphism Inner automorphism of a group
group.properties_interdependencies Interdependencies of group properties
group.subgroup_properties_interdependencies Interdependencies of subgroup properties
group.isoclinism Isoclinism
K
group.representation.kernel Kernel of a character
L
group.label_conjugacy_class Label of a conjugacy class
group.label Label of a group
group.label_complex_group_char Label of irreducible complex characters of groups
group.label_rational_group_char Label of rational character of a group
group.lower_central_series Lower central series of a group
M
group.matrix_group Matrix group
group.division_maximal Maximal division of a group
group.maximal_quotient Maximal quotient of a group
group.maximal_subgroup Maximal subgroup of a group
group.metabelian Metabelian group
group.metacyclic Metacyclic group
group.min_complex_irrep_deg Minimal degree of a complex irrep
group.min_complex_rep_deg Minimal degree of a complex representation
group.min_rational_irrep_deg Minimal degree of a rational irrep
group.min_rational_rep_deg Minimal degree of a rational representation
group.min_faithful_linear Minimal faithful linear representations
group.minimal_normal Minimal normal subgroup
group.representation.min_perm_rep Minimum permutation representation
group.monomial Monomial group
group.mobius_function Möbius function of subgroup lattice
N
group.nilpotent Nilpotent group
group.subgroup.normal_closure Normal closure of a subgroup
group.normal_series Normal series of a group
group.subgroup.normal Normal subgroup of a group
group.subgroup.normalizer Normalizer of a subgroup
O
group.order Order of a group
group.element_order Order of a group element
group.order_conjugacy_class Order of elements in a conjugacy class
group.order_stats Order statistics of a group
group.outer_aut Outer automorphism group
group.over_subgroup Over-subgroup
P
group.pgroup $p$-group
group.paramodular Paramodular group
group.perfect Perfect groups
group.permutation_degree Permutation degree
group.permutation_module permutation module
group.permutation_representation Permutation representation
group.conjugacy_class.power_classes Power classes
group.presentation Presentation of a finite group
group.primary_decomposition Primary decomposition of abelian group
group.subgroup.projective_image Projective image of a subgroup
group.proper_subgroup Proper subgroup
Q
group.quasisimple Quasisimple group
group.quotient Quotient group
group.quotient_isolabel Quotient label
R
group.radical Radical of a group
group.rank Rank
group.representation.rational_character Rational character
group.rational_character_table Rational character table of a group
group.rational_group Rational group
S
group.representation.schur_index Schur index
group.schur_multiplier Schur multiplier
group.semidirect_product Semidirect product of groups
group.simple Simple groups
group.size_conjugacy_class Size of a conjugacy class.
group.quotient_size Size of a quotient
group.division_small_large Small and large divisions of a group
group.socle Socle of a group
group.solvable Solvable group
group.sort_order Sort order for groups
group.stem_extension Stem extension
group.stem_group Stem group
group.subgroup.diagram Subgroup diagram
group.subgroup.diagram.lmfdb Subgroup diagrams in the LMFDB
group.sp2gr.ppal.congruence Subgroup $\Gamma(N)$ of $\Sp(2g,\Z)$
group.subgroup_isolabel Subgroup label
group.subgroup_label Subgroup labels
group.subgroup Subgroup of a group
group.subgroups_beyond_bound Subgroups beyond an index bound
group.supersolvable Supersolvable group
group.sylow_subgroup Sylow subgroup
group.symmetric Symmetric group
group.sp2gr Symplectic group
T
group.torsion Torsion group
group.transitive_degree Transitive degree
group.triangle_group Triangle group
group.trivial_subgroup Trivial subgroup
group.representation.type Type of a complex group representation
group.type Type of groups
U
group.under_subgroup Under-subgroup
group.upper_central_series Upper central series of a group
W
group.weyl_group Weyl group
group.fuchsian.cusps.width Width of a cusp
group.wreath_product Wreath product
Z
group.z_group Z-group