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Infinite group Torsion subgroup Cyclic group Polycyclic group Length function Lattice of subgroups Finite group Elementary abelian group Order Alternating group Dihedral group Core Profinite group Finite field Triangle group Group extension Algebraic group Simple group Finite ring Group theory Finite set Compact group Norm Finitely generated group Permutation group Finitely generated abelian group Linear algebraic group Galois group Partition of a set Kleinian group Finite topological space Semigroup Comparison of topologies Group action Generating set of a group Congruence subgroup Component Coset Fundamental representation Cayley's theorem Double coset Incidence algebra Cycle graph Parametric equation Lattice Fundamental group Fundamental groupoid Linear group Symmetry group Geometric series Character group Character theory Affine group Isogeny One-parameter group Solvable group Finitely generated module Primitive element theorem Group of lie type Permutation graph Outline of combinatorics Space group Tensor field Mapping class group Permutation pattern Class function Graph theory Modular group Special unitary group Abelian group Group Arithmetic group Closed category Reductive group System of differential equations Simple lie group Element Partially ordered set Subgroup Locally compact group Group scheme Discrete group Symmetric group Commutator subgroup Index of a subgroup Pin group Borel subgroup Order topology Family of sets Cycle basis Cayley graph Rank of a group Geometric group theory Ordered field Polygon Symmetric space Spanning tree Set theory Lie's third theorem Closed-subgroup theorem

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