Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Glossary_of_group_theory> ?p ?o }
- Glossary_of_group_theory abstract "In group theory, a group (G, •) is a set G closed under a binary operation • satisfying the following 3 axioms: Associativity: For all a, b and c in G, (a • b) • c = a • (b • c). Identity element: There exists an e ∈ G such that for all a in G, e • a = a • e = a. Inverse element: For each a in G, there is an element b in G such that a • b = b • a = e, where e is an identity element.Basic examples for groups are the integers Z with addition operation, or rational numbers without zero Q \ {0} with multiplication. More generally, for any ring R, the units in R form a multiplicative group. See the group article for an illustration of this definition and for further examples. Groups include, however, much more general structures than the above. Group theory is concerned with proving abstract statements about groups, regardless of the actual nature of element and the operation of the groups in question.This glossary provides short explanations of some basic notions used throughout group theory. Please refer to group theory for a general description of the topic. See also list of group theory topics.".
- Glossary_of_group_theory wikiPageID "249268".
- Glossary_of_group_theory wikiPageLength "13089".
- Glossary_of_group_theory wikiPageOutDegree "110".
- Glossary_of_group_theory wikiPageRevisionID "648705156".
- Glossary_of_group_theory wikiPageWikiLink Abelian_category.
- Glossary_of_group_theory wikiPageWikiLink Abelian_group.
- Glossary_of_group_theory wikiPageWikiLink Artinian_ring.
- Glossary_of_group_theory wikiPageWikiLink Ascending_chain_condition.
- Glossary_of_group_theory wikiPageWikiLink Associative_property.
- Glossary_of_group_theory wikiPageWikiLink Associativity.
- Glossary_of_group_theory wikiPageWikiLink Axiom.
- Glossary_of_group_theory wikiPageWikiLink Axioms.
- Glossary_of_group_theory wikiPageWikiLink Bijection.
- Glossary_of_group_theory wikiPageWikiLink Bijective.
- Glossary_of_group_theory wikiPageWikiLink Binary_operation.
- Glossary_of_group_theory wikiPageWikiLink Butterfly_lemma.
- Glossary_of_group_theory wikiPageWikiLink Cardinality.
- Glossary_of_group_theory wikiPageWikiLink Cartesian_product.
- Glossary_of_group_theory wikiPageWikiLink Category:Glossaries_of_mathematics.
- Glossary_of_group_theory wikiPageWikiLink Category:Group_theory.
- Glossary_of_group_theory wikiPageWikiLink Category_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Category_of_groups.
- Glossary_of_group_theory wikiPageWikiLink Cayleys_theorem.
- Glossary_of_group_theory wikiPageWikiLink Center_(group_theory).
- Glossary_of_group_theory wikiPageWikiLink Center_of_a_group.
- Glossary_of_group_theory wikiPageWikiLink Central_series.
- Glossary_of_group_theory wikiPageWikiLink Class_field_theory.
- Glossary_of_group_theory wikiPageWikiLink Classification_of_finite_simple_groups.
- Glossary_of_group_theory wikiPageWikiLink Closure_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Commutative.
- Glossary_of_group_theory wikiPageWikiLink Commutative_property.
- Glossary_of_group_theory wikiPageWikiLink Commutator.
- Glossary_of_group_theory wikiPageWikiLink Commutator_subgroup.
- Glossary_of_group_theory wikiPageWikiLink Complete_lattice.
- Glossary_of_group_theory wikiPageWikiLink Composition_series.
- Glossary_of_group_theory wikiPageWikiLink Correspondence_theorem_(group_theory).
- Glossary_of_group_theory wikiPageWikiLink Coset.
- Glossary_of_group_theory wikiPageWikiLink Cyclic_group.
- Glossary_of_group_theory wikiPageWikiLink Direct_product_of_groups.
- Glossary_of_group_theory wikiPageWikiLink Direct_sum_of_groups.
- Glossary_of_group_theory wikiPageWikiLink Epimorphism.
- Glossary_of_group_theory wikiPageWikiLink Exact_sequence.
- Glossary_of_group_theory wikiPageWikiLink Ext_functor.
- Glossary_of_group_theory wikiPageWikiLink Extension_problem.
- Glossary_of_group_theory wikiPageWikiLink Field_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Finite_group.
- Glossary_of_group_theory wikiPageWikiLink Finitely_generated_abelian_group.
- Glossary_of_group_theory wikiPageWikiLink Finitely_generated_group.
- Glossary_of_group_theory wikiPageWikiLink Free_monoid.
- Glossary_of_group_theory wikiPageWikiLink Free_semigroup.
- Glossary_of_group_theory wikiPageWikiLink Fundamental_theorem_of_finitely_generated_abelian_groups.
- Glossary_of_group_theory wikiPageWikiLink Fundamental_theorem_on_homomorphisms.
- Glossary_of_group_theory wikiPageWikiLink General_linear_group.
- Glossary_of_group_theory wikiPageWikiLink Generating_set_of_a_group.
- Glossary_of_group_theory wikiPageWikiLink Group_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Group_extension.
- Glossary_of_group_theory wikiPageWikiLink Group_homomorphism.
- Glossary_of_group_theory wikiPageWikiLink Group_representation.
- Glossary_of_group_theory wikiPageWikiLink Group_theory.
- Glossary_of_group_theory wikiPageWikiLink Homological_algebra.
- Glossary_of_group_theory wikiPageWikiLink Identity_element.
- Glossary_of_group_theory wikiPageWikiLink Image_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Induction_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Injective.
- Glossary_of_group_theory wikiPageWikiLink Injective_function.
- Glossary_of_group_theory wikiPageWikiLink Integer.
- Glossary_of_group_theory wikiPageWikiLink Integers.
- Glossary_of_group_theory wikiPageWikiLink Inverse_element.
- Glossary_of_group_theory wikiPageWikiLink Inverse_limit.
- Glossary_of_group_theory wikiPageWikiLink Invertible_matrix.
- Glossary_of_group_theory wikiPageWikiLink Isomorphism.
- Glossary_of_group_theory wikiPageWikiLink Jordan–Hölder_theorem.
- Glossary_of_group_theory wikiPageWikiLink Kernel_(algebra).
- Glossary_of_group_theory wikiPageWikiLink Kernel_of_a_homomorphism.
- Glossary_of_group_theory wikiPageWikiLink Klein_four-group.
- Glossary_of_group_theory wikiPageWikiLink Krull-Schmidt_theorem.
- Glossary_of_group_theory wikiPageWikiLink Krull–Schmidt_theorem.
- Glossary_of_group_theory wikiPageWikiLink L-adic_cohomology.
- Glossary_of_group_theory wikiPageWikiLink Lagranges_theorem_(group_theory).
- Glossary_of_group_theory wikiPageWikiLink Lattice_of_subgroups.
- Glossary_of_group_theory wikiPageWikiLink Lattice_theorem.
- Glossary_of_group_theory wikiPageWikiLink List_of_group_theory_topics.
- Glossary_of_group_theory wikiPageWikiLink Mathematical_induction.
- Glossary_of_group_theory wikiPageWikiLink Matrix_(mathematics).
- Glossary_of_group_theory wikiPageWikiLink Mitchells_embedding_theorem.
- Glossary_of_group_theory wikiPageWikiLink Modular_arithmetic.
- Glossary_of_group_theory wikiPageWikiLink Monomorphism.
- Glossary_of_group_theory wikiPageWikiLink Monster_group.
- Glossary_of_group_theory wikiPageWikiLink Multiplicative_group.
- Glossary_of_group_theory wikiPageWikiLink Niels_Abel.
- Glossary_of_group_theory wikiPageWikiLink Niels_Henrik_Abel.
- Glossary_of_group_theory wikiPageWikiLink Nilpotent_group.
- Glossary_of_group_theory wikiPageWikiLink Noetherian_ring.
- Glossary_of_group_theory wikiPageWikiLink Normal_series.
- Glossary_of_group_theory wikiPageWikiLink Normal_subgroup.
- Glossary_of_group_theory wikiPageWikiLink Order_(group_theory).
- Glossary_of_group_theory wikiPageWikiLink Order_of_a_group.
- Glossary_of_group_theory wikiPageWikiLink P-adic_analysis.
- Glossary_of_group_theory wikiPageWikiLink P-adic_integers.