Group Properties
- Abelian
- Abstract Group
- Action
- Additive Identity
- Additive Inverse
- Amenable Group
- Andreadakis Conjecture
- Antiautomorphism
- Antihomomorphism
- Aschbacher's Component Theorem
- Betti Number
- Block Monoid
- B_p-Theorem
- Burnside's Conjecture
- Butterfly Lemma
- Cayley Graph
- Centralizer
- Character Table
- Cohomological Dimension
- Cokernel
- Component
- Composition Series
- Conjugacy Class
- Conjugacy Class Order
- Conjugate Element
- Connes's Rigidity Conjecture
- Coset
- Cross Number
- Crystallography Restriction
- Cycle Index
- Davenport Constant
- Definable Group
- Difference Set
- Difference Set Order
- Dixmier Unitarizability Problem
- Elasticity
- Elementary Abelian Group
- Erdős-Ginzburg-Ziv Constant
- Erdős-Ginzburg-Ziv Theorem
- Finitely Generated
- Finitely Presented Group
- First Group Isomorphism Theorem
- First Multiplier Theorem
- Fourth Group Isomorphism Theorem
- Frattini Extension
- Frattini Factor
- Fundamental Domain
- G-Set
- Galois's Theorem
- Galois Theory
- Gao Constant
- Global C(G;T) Theorem
- Gottschalk Surjunctivity Conjecture
- Group Center
- Group Character
- Group Convolution
- Group Cycle
- Group Cycle Graph
- Group Exponent
- Group Fixed Point
- Group Generators
- Group Involution
- Group Orbit
- Group Orthogonality Theorem
- Group Presentation
- Group Rank
- Group Residue Theorem
- Group Torsion
- Group Upper Central Series
- Group Word Problem
- Hadamard Difference Set
- Homogeneous Permutation Group
- Hyperbolic Group
- ICC Group
- Identity Element
- Invariant Mean
- Invariant Series
- Invertible Element
- Involution Rank
- Isogeny
- Isomorphic Groups
- Ito's Theorem
- Kaplansky Direct-Finiteness Conjecture
- Kaplansky Zero-Divisor Conjecture
- Kazhdan's Property (T)
- Kazhdan Set
- Krohn-Rhodes Complexity
- Krohn-Rhodes Theorem
- Krohn-Rhodes Theory
- Lagrange's Group Theorem
- Landau's Function
- Lattice-Ordered Group
- Left Coset
- Left Transversal
- Local Group Presentation
- Locally Compact Group
- Lower Central Series
- L_p^'-Balance Theorem
- Maximal Tori Theorem
- Measure Equivalence
- Möbius Problem
- Mulliken Symbols
- Multiplicative Inverse
- Netto's Conjecture
- Non-Abelian
- Non-Abelian Group
- Normal Factor
- Normal Series
- Normalizer
- Olson Constant
- Orthogonal Group Representations
- p-Layer
- Planar Difference Set
- Poincaré Duality Group
- Pólya Polynomial
- Primary Representation
- Property C
- Property D
- Quasithin Theorem
- Rearrangement Theorem
- Residually Finite Group
- Right Coset
- Right Transversal
- Schur's Representation Lemma
- Second Group Isomorphism Theorem
- Semidirect Product
- Semisimple Element
- Short Exact Sequence
- Signalizer Functor Theorem
- Socle
- Sofic Group
- Soficity Conjecture
- Stabilizer
- Strong Ulam Stability
- Strongly Embedded Theorem
- Subgroup Index
- Surjunctive Group
- Tarski Monster
- Third Group Isomorphism Theorem
- Tightly Embedded
- Torsion-Free Group
- Torsion Subgroup
- Unipotent
- Unitarizable Group
- von Dyck's Theorem
- Zero Element
- Zero-Sum Sequence