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Rings, Fields and Groups

 * Introduction
 * Abstract algebra
 * Characteristic (algebra)
 * Group theory


 * Morphism
 * Automorphism
 * Endomorphism
 * Group homomorphism
 * Group isomorphism
 * Homomorphism
 * Isomorphism
 * Isomorphism theorem


 * Groups
 * Abelian group
 * Algebraic structure
 * Alternating group
 * Center (group theory)
 * Centralizer and normalizer
 * Classical group
 * Composition series
 * Conjugacy class
 * Coset
 * Cyclic group
 * Cyclic permutation
 * Direct product
 * Double coset
 * Equivalence class
 * Equivalence relation
 * Finite group
 * Finitely generated abelian group
 * Frattini's argument
 * Free abelian group
 * Free group
 * Galois group
 * Group (mathematics)
 * Group action
 * Group of Lie type
 * Identity element
 * Integral domain
 * Kernel (algebra)
 * Klein four-group
 * Modular arithmetic
 * Nilpotent
 * Order (group theory)
 * Permutation group
 * Primitive permutation group
 * Primitive root modulo n
 * Principal ideal
 * Product of group subsets
 * Quotient group
 * Rubik's Cube group
 * Simple group
 * Solvable group
 * Symmetric group
 * Burnside theorem
 * Sylow theorems


 * Subgroups
 * Subgroup
 * Index of a subgroup
 * Commutator subgroup
 * Maximal subgroup
 * Normal subgroup


 * Classification of finite simple groups
 * Classification of finite simple groups
 * List of finite simple groups
 * Conway group
 * Janko group J1
 * Lyons group
 * Pariah group
 * Baby Monster group
 * Monster group
 * O'Nan group
 * Sporadic group


 * Rings
 * Ideal (ring theory)
 * Ring (mathematics)
 * Ring of integers
 * Subring


 * Fields
 * Field (mathematics)
 * Field (mathematics)
 * Finite field