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- Abelian_group abstract "In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written (the axiom of commutativity). Abelian groups generalize the arithmetic of addition of integers. They are named after Niels Henrik Abel.The concept of an abelian group is one of the first concepts encountered in undergraduate abstract algebra, with many other basic objects, such as a module and a vector space, being its refinements. The theory of abelian groups is generally simpler than that of their non-abelian counterparts, and finite abelian groups are very well understood. On the other hand, the theory of infinite abelian groups is an area of current research.".
- Abelian_group wikiPageID "2974".
- Abelian_group wikiPageLength "24939".
- Abelian_group wikiPageOutDegree "153".
- Abelian_group wikiPageRevisionID "683089085".
- Abelian_group wikiPageWikiLink Abelian_category.
- Abelian_group wikiPageWikiLink Abelianization.
- Abelian_group wikiPageWikiLink Abstract_algebra.
- Abelian_group wikiPageWikiLink Academic_Press.
- Abelian_group wikiPageWikiLink Addition.
- Abelian_group wikiPageWikiLink Additive_identity.
- Abelian_group wikiPageWikiLink Additive_inverse.
- Abelian_group wikiPageWikiLink Adjective.
- Abelian_group wikiPageWikiLink Algebraic_structure.
- Abelian_group wikiPageWikiLink Algebraically_compact_module.
- Abelian_group wikiPageWikiLink American_Mathematical_Monthly.
- Abelian_group wikiPageWikiLink Arithmetic.
- Abelian_group wikiPageWikiLink Automorphism.
- Abelian_group wikiPageWikiLink Automorphism_group.
- Abelian_group wikiPageWikiLink Axiomatic_set_theory.
- Abelian_group wikiPageWikiLink Baers_criterion.
- Abelian_group wikiPageWikiLink Basic_subgroup.
- Abelian_group wikiPageWikiLink Binary_operation.
- Abelian_group wikiPageWikiLink Boolean_algebra_(structure).
- Abelian_group wikiPageWikiLink Camille_Jordan.
- Abelian_group wikiPageWikiLink Cardinal_number.
- Abelian_group wikiPageWikiLink Category:Abelian_group_theory.
- Abelian_group wikiPageWikiLink Category:Niels_Henrik_Abel.
- Abelian_group wikiPageWikiLink Category:Properties_of_groups.
- Abelian_group wikiPageWikiLink Category_of_abelian_groups.
- Abelian_group wikiPageWikiLink Cayley_table.
- Abelian_group wikiPageWikiLink Class_field_theory.
- Abelian_group wikiPageWikiLink Commutative.
- Abelian_group wikiPageWikiLink Commutative_property.
- Abelian_group wikiPageWikiLink Commutative_ring.
- Abelian_group wikiPageWikiLink Commutativity.
- Abelian_group wikiPageWikiLink Commutator_subgroup.
- Abelian_group wikiPageWikiLink Constructible_universe.
- Abelian_group wikiPageWikiLink Continuum_hypothesis.
- Abelian_group wikiPageWikiLink Coprime.
- Abelian_group wikiPageWikiLink Coprime_integers.
- Abelian_group wikiPageWikiLink Cotorsion_group.
- Abelian_group wikiPageWikiLink Cyclic_group.
- Abelian_group wikiPageWikiLink Decidability_(logic).
- Abelian_group wikiPageWikiLink Dihedral_group_of_order_6.
- Abelian_group wikiPageWikiLink Dimension.
- Abelian_group wikiPageWikiLink Direct_sum_of_groups.
- Abelian_group wikiPageWikiLink Divisible_group.
- Abelian_group wikiPageWikiLink Divisor.
- Abelian_group wikiPageWikiLink Dover_Publications.
- Abelian_group wikiPageWikiLink Element_(mathematics).
- Abelian_group wikiPageWikiLink Elementary_abelian_group.
- Abelian_group wikiPageWikiLink Ferdinand_Georg_Frobenius.
- Abelian_group wikiPageWikiLink Finite_group.
- Abelian_group wikiPageWikiLink Finitely_generated_abelian_group.
- Abelian_group wikiPageWikiLink Free_abelian_group.
- Abelian_group wikiPageWikiLink Fundamenta_Mathematicae.
- Abelian_group wikiPageWikiLink Fundamental_theorem_of_finitely_generated_abelian_groups.
- Abelian_group wikiPageWikiLink Galois_theory.
- Abelian_group wikiPageWikiLink General_linear_group.
- Abelian_group wikiPageWikiLink Generalization.
- Abelian_group wikiPageWikiLink Generalized_continuum_hypothesis.
- Abelian_group wikiPageWikiLink Georg_Frobenius.
- Abelian_group wikiPageWikiLink Group_(mathematics).
- Abelian_group wikiPageWikiLink Group_homomorphism.
- Abelian_group wikiPageWikiLink Group_isomorphism.
- Abelian_group wikiPageWikiLink Height_(abelian_group).
- Abelian_group wikiPageWikiLink Helmut_Ulm.
- Abelian_group wikiPageWikiLink Infinite_cyclic_group.
- Abelian_group wikiPageWikiLink Injective_module.
- Abelian_group wikiPageWikiLink Integer.
- Abelian_group wikiPageWikiLink Irving_Kaplansky.
- Abelian_group wikiPageWikiLink John_Wiley_&_Sons.
- Abelian_group wikiPageWikiLink Linear_algebra.
- Abelian_group wikiPageWikiLink Linear_independence.
- Abelian_group wikiPageWikiLink Linearly_independent.
- Abelian_group wikiPageWikiLink List_of_small_groups.
- Abelian_group wikiPageWikiLink List_of_statements_undecidable_in_ZFC.
- Abelian_group wikiPageWikiLink Ludwig_Stickelberger.
- Abelian_group wikiPageWikiLink Mathematician.
- Abelian_group wikiPageWikiLink Matrix_(mathematics).
- Abelian_group wikiPageWikiLink Modular_arithmetic.
- Abelian_group wikiPageWikiLink Module_(mathematics).
- Abelian_group wikiPageWikiLink Multiplication_table.
- Abelian_group wikiPageWikiLink Multiplicative_group.
- Abelian_group wikiPageWikiLink Natural_number.
- Abelian_group wikiPageWikiLink Near-ring.
- Abelian_group wikiPageWikiLink Niels_Henrik_Abel.
- Abelian_group wikiPageWikiLink Non-abelian_group.
- Abelian_group wikiPageWikiLink Nonabelian_group.
- Abelian_group wikiPageWikiLink Normal_subgroup.
- Abelian_group wikiPageWikiLink Norway.
- Abelian_group wikiPageWikiLink Operation_(mathematics).
- Abelian_group wikiPageWikiLink Order_(group_theory).
- Abelian_group wikiPageWikiLink P-adic_integer.
- Abelian_group wikiPageWikiLink P-adic_number.
- Abelian_group wikiPageWikiLink Partially_ordered_group.
- Abelian_group wikiPageWikiLink Periodic_group.
- Abelian_group wikiPageWikiLink Phillip_Griffith.
- Abelian_group wikiPageWikiLink Polynomial.