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More
Recently modified Knowls
A
group.a_group
A-group
group.abelian
Abelian group
group.galois.absolute
Absolute Galois group
group.fuchsian.action
Action of $\SL(2,\R)$ in the upper half-plane
group.almost_simple
Almost simple group
group.alternating
Alternating group
group.automorphism
Automorphisms of a group
C
group.center
Center of a group
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_subgroup
Commutator subgroup of a group
group.core
Core of a subgroup
group.coset
Coset of a subgroup
group.fuchsian.cusps
Cusps of a subgroup of the modular group
group.cyclic
Cyclic group
D
group.small.data
Data on small group
group
Definition of group
group.derived_series
Derived series of a group
group.dicyclic
Dicyclic group
group.dihedral
Dihedral group
group.direct_product
Direct product of groups
E
group.exponent
Exponent of a group
F
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.generalized_quaternion
Generalized quaternion
group.generators
Generators of a group
group.sl2z.genus_subgroup
Genus of a subgroup of the modular group
group.sp2gr.gamma0
Group $\Gamma_0(N)$, subgroup of $\mathrm{Sp}(2g,\mathbb Z)$
group.homomorphism
Group homomorphism
group.isomorphism
Group isomorphism
group.about
Groups
H
group.haar_measure
Haar measure of a topological group
group.subgroup.hall
Hall subgroup
I
group.subgroup.index
Index of a subgroup
group.inner_automorphism
Inner automorphism of a group
L
group.small_group_label
Labels for the small group database in GAP and Magma
group.linear
Linear and Projective Linear Groups
group.lower_central_series
Lower central series of a group
M
group.maximal_subgroup
Maximal subgroup of a group
group.metabelian
Metabelian group
group.metacyclic
Metacyclic group
group.sl2z
Modular group $\mathrm {SL}(2,\mathbb Z)$
group.monomial
Monomial group
N
group.nilpotent
Nilpotent group
group.nonsplit_product
Non-split extension of groups
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.outer_aut
Outer automorphism group
P
group.paramodular
Paramodular group
group.perfect
Perfect groups
group.psl2r
Projective special linear group $\text{PSL}_2(\mathbb{R})$
Q
group.quasisimple
Quasisimple group
group.quotient
Quotient group
R
group.radical
Radical of a group
group.rational_group
Rational group
S
group.semidirect_product
Semidirect product of groups
group.simple
Simple groups
group.socle
Socle of a group
group.solvable
Solvable group
group.sl2z.subgroup.gamman
Subgroup $\Gamma(N)$ of $\textrm{SL}(2,\mathbb{Z})$
group.sl2z.subgroup.gamma0n
Subgroup $\Gamma_0(N)$ of $\textrm{SL}(2,\mathbb{Z})$
group.sl2z.subgroup.gamma1n
Subgroup $\Gamma_1(N)$ of $\textrm{SL}(2,\mathbb{Z})$
group.subgroup.diagram
Subgroup diagram
group.subgroup.diagram.lmfdb
Subgroup diagrams in the LMFDB
group.subgroup
Subgroup of a group
group.supersolvable
Supersolvable group
group.sylow_subgroup
Sylow subgroup
group.symmetric
Symmetric group
group.sp2gr
Symplectic group
U
group.upper_central_series
Upper central series of a group
W
group.fuchsian.cusps.width
Width of a cusp
group.wreath_product
Wreath product
Z
group.z_group
Z-group