Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Free_group> ?p ?o }
- Free_group abstract "In mathematics, the free group FS over a given set S consists of all expressions (a.k.a. words, or terms) that can be built from members of S, considering two expressions different unless their equality follows from the group axioms (e.g. st = suu−1t, but s ≠ t for s,t,u∈S). The members of S are called generators of FS.An arbitrary group G is called free if it is isomorphic to FS for some subset S of G, that is, if there is a subset S of G such that every element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st = suu−1t).A related but different notion is a free abelian group, both notions are particular instances of a free object from universal algebra.".
- Free_group thumbnail F2_Cayley_Graph.png?width=300.
- Free_group wikiPageExternalLink books?id=LJtyhu8-xYwC&pg=PA27.
- Free_group wikiPageExternalLink books?id=deWkZWYbyHQC&pg=PA70.
- Free_group wikiPageID "59735".
- Free_group wikiPageLength "16469".
- Free_group wikiPageOutDegree "98".
- Free_group wikiPageRevisionID "679381701".
- Free_group wikiPageWikiLink Abelian_group.
- Free_group wikiPageWikiLink Abelianisation.
- Free_group wikiPageWikiLink Adjoint_functors.
- Free_group wikiPageWikiLink Alfred_Tarski.
- Free_group wikiPageWikiLink Algebraic_topology.
- Free_group wikiPageWikiLink Automorphism_group_of_a_free_group.
- Free_group wikiPageWikiLink Banach–Tarski_paradox.
- Free_group wikiPageWikiLink Bouquet_of_circles.
- Free_group wikiPageWikiLink Cardinality.
- Free_group wikiPageWikiLink Category:Articles_with_inconsistent_citation_formats.
- Free_group wikiPageWikiLink Category:Combinatorial_group_theory.
- Free_group wikiPageWikiLink Category:Free_algebraic_structures.
- Free_group wikiPageWikiLink Category:Geometric_group_theory.
- Free_group wikiPageWikiLink Category:Properties_of_groups.
- Free_group wikiPageWikiLink Category_of_groups.
- Free_group wikiPageWikiLink Category_of_sets.
- Free_group wikiPageWikiLink Category_theory.
- Free_group wikiPageWikiLink Cayley_graph.
- Free_group wikiPageWikiLink Center_(group_theory).
- Free_group wikiPageWikiLink Center_of_a_group.
- Free_group wikiPageWikiLink Central_series.
- Free_group wikiPageWikiLink Combinatorial_topology.
- Free_group wikiPageWikiLink Commutative_diagram.
- Free_group wikiPageWikiLink Commutator.
- Free_group wikiPageWikiLink Commutator_subgroup.
- Free_group wikiPageWikiLink Concatenation.
- Free_group wikiPageWikiLink Countable_set.
- Free_group wikiPageWikiLink Covering_space.
- Free_group wikiPageWikiLink Decidability_(logic).
- Free_group wikiPageWikiLink Epimorphism.
- Free_group wikiPageWikiLink Euler_characteristic.
- Free_group wikiPageWikiLink Exponential_growth.
- Free_group wikiPageWikiLink File:F2_Cayley_Graph.png.
- Free_group wikiPageWikiLink Forgetful_functor.
- Free_group wikiPageWikiLink Free_Lie_algebra.
- Free_group wikiPageWikiLink Free_abelian_group.
- Free_group wikiPageWikiLink Free_action.
- Free_group wikiPageWikiLink Free_object.
- Free_group wikiPageWikiLink Free_probability.
- Free_group wikiPageWikiLink Free_probability_theory.
- Free_group wikiPageWikiLink Free_product.
- Free_group wikiPageWikiLink Fuchsian_group.
- Free_group wikiPageWikiLink Functor.
- Free_group wikiPageWikiLink Fundamental_group.
- Free_group wikiPageWikiLink Generating_set_of_a_group.
- Free_group wikiPageWikiLink Graph_theory.
- Free_group wikiPageWikiLink Group_(mathematics).
- Free_group wikiPageWikiLink Group_action.
- Free_group wikiPageWikiLink Group_axioms.
- Free_group wikiPageWikiLink Group_homomorphism.
- Free_group wikiPageWikiLink Group_isomorphism.
- Free_group wikiPageWikiLink Group_presentation.
- Free_group wikiPageWikiLink Groupoid.
- Free_group wikiPageWikiLink Growth_rate_(group_theory).
- Free_group wikiPageWikiLink Grushko_theorem.
- Free_group wikiPageWikiLink Grushkos_theorem.
- Free_group wikiPageWikiLink Hyperbolic_geometry.
- Free_group wikiPageWikiLink Inner_automorphism.
- Free_group wikiPageWikiLink Integer.
- Free_group wikiPageWikiLink Isometry.
- Free_group wikiPageWikiLink Isomorphism.
- Free_group wikiPageWikiLink J.-P._Serre.
- Free_group wikiPageWikiLink Jakob_Nielsen_(mathematician).
- Free_group wikiPageWikiLink Jean-Pierre_Serre.
- Free_group wikiPageWikiLink Kurt_Reidemeister.
- Free_group wikiPageWikiLink Left_adjoint.
- Free_group wikiPageWikiLink Lower_central_series.
- Free_group wikiPageWikiLink Mathematics.
- Free_group wikiPageWikiLink Max_Dehn.
- Free_group wikiPageWikiLink Model_theory.
- Free_group wikiPageWikiLink Monoid.
- Free_group wikiPageWikiLink Nielsen_transformation.
- Free_group wikiPageWikiLink Nielsen–Schreier_theorem.
- Free_group wikiPageWikiLink Normal_form_for_free_groups_and_free_product_of_groups.
- Free_group wikiPageWikiLink Orientation_(graph_theory).
- Free_group wikiPageWikiLink Oriented_graph.
- Free_group wikiPageWikiLink Otto_Schreier.
- Free_group wikiPageWikiLink Presentation_of_a_group.
- Free_group wikiPageWikiLink Quotient_group.
- Free_group wikiPageWikiLink Rose_(topology).
- Free_group wikiPageWikiLink SQ-universal_group.
- Free_group wikiPageWikiLink SQ_universal.
- Free_group wikiPageWikiLink Subgroup.
- Free_group wikiPageWikiLink Subset.
- Free_group wikiPageWikiLink Term_(logic).
- Free_group wikiPageWikiLink Tree_(graph_theory).
- Free_group wikiPageWikiLink Tree_(mathematics).
- Free_group wikiPageWikiLink Universal_(mathematics).
- Free_group wikiPageWikiLink Universal_algebra.
- Free_group wikiPageWikiLink Universal_property.
- Free_group wikiPageWikiLink Up_to.
- Free_group wikiPageWikiLink Von_Neumann_algebra.