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- Word_(group_theory) abstract "In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, z−1xzz and y−1zxx−1yz−1 are words in the set {x, y, z}. Two different words may evaluate to the same value in G, or even in every group. Words play an important role in the theory of free groups and presentations, and are central objects of study in combinatorial group theory.".
- Word_(group_theory) wikiPageID "12792326".
- Word_(group_theory) wikiPageLength "8650".
- Word_(group_theory) wikiPageOutDegree "29".
- Word_(group_theory) wikiPageRevisionID "646855645".
- Word_(group_theory) wikiPageWikiLink Canonical_form.
- Word_(group_theory) wikiPageWikiLink Category:Combinatorial_group_theory.
- Word_(group_theory) wikiPageWikiLink Category:Combinatorics_on_words.
- Word_(group_theory) wikiPageWikiLink Category:Group_theory.
- Word_(group_theory) wikiPageWikiLink Combinatorial_group_theory.
- Word_(group_theory) wikiPageWikiLink Conjugacy_class.
- Word_(group_theory) wikiPageWikiLink Cyclic_group.
- Word_(group_theory) wikiPageWikiLink Cyclic_permutation.
- Word_(group_theory) wikiPageWikiLink Dihedral_group.
- Word_(group_theory) wikiPageWikiLink Direct_product_of_groups.
- Word_(group_theory) wikiPageWikiLink Exponentiation.
- Word_(group_theory) wikiPageWikiLink Free_group.
- Word_(group_theory) wikiPageWikiLink Generating_set_of_a_group.
- Word_(group_theory) wikiPageWikiLink Group_(mathematics).
- Word_(group_theory) wikiPageWikiLink Group_theory.
- Word_(group_theory) wikiPageWikiLink If_and_only_if.
- Word_(group_theory) wikiPageWikiLink Klein_four-group.
- Word_(group_theory) wikiPageWikiLink Max_Dehn.
- Word_(group_theory) wikiPageWikiLink Overline.
- Word_(group_theory) wikiPageWikiLink Presentation_of_a_group.
- Word_(group_theory) wikiPageWikiLink Pyotr_Novikov.
- Word_(group_theory) wikiPageWikiLink Roger_Lyndon.
- Word_(group_theory) wikiPageWikiLink Subgroup.
- Word_(group_theory) wikiPageWikiLink Subset.
- Word_(group_theory) wikiPageWikiLink Term_(logic).
- Word_(group_theory) wikiPageWikiLink Undecidable_problem.
- Word_(group_theory) wikiPageWikiLinkText "Word (group theory)".
- Word_(group_theory) wikiPageWikiLinkText "reduced words".
- Word_(group_theory) wikiPageWikiLinkText "reduced".
- Word_(group_theory) wikiPageWikiLinkText "word (group theory)#Reduced words".
- Word_(group_theory) wikiPageWikiLinkText "word".
- Word_(group_theory) wikiPageWikiLinkText "words".
- Word_(group_theory) wikiPageUsesTemplate Template:Cite_book.
- Word_(group_theory) wikiPageUsesTemplate Template:Cite_journal.
- Word_(group_theory) wikiPageUsesTemplate Template:Harv.
- Word_(group_theory) wikiPageUsesTemplate Template:Main.
- Word_(group_theory) wikiPageUsesTemplate Template:Reflist.
- Word_(group_theory) wikiPageUsesTemplate Template:See_also.
- Word_(group_theory) subject Category:Combinatorial_group_theory.
- Word_(group_theory) subject Category:Combinatorics_on_words.
- Word_(group_theory) subject Category:Group_theory.
- Word_(group_theory) type Combinatoric.
- Word_(group_theory) type Redirect.
- Word_(group_theory) type Thing.
- Word_(group_theory) comment "In group theory, a word is any written product of group elements and their inverses. For example, if x, y and z are elements of a group G, then xy, z−1xzz and y−1zxx−1yz−1 are words in the set {x, y, z}. Two different words may evaluate to the same value in G, or even in every group. Words play an important role in the theory of free groups and presentations, and are central objects of study in combinatorial group theory.".
- Word_(group_theory) label "Word (group theory)".
- Word_(group_theory) seeAlso Free_group.
- Word_(group_theory) seeAlso Free_product.
- Word_(group_theory) seeAlso Free_product_of_groups.
- Word_(group_theory) seeAlso Normal_form_for_free_groups.
- Word_(group_theory) sameAs Q10944557.
- Word_(group_theory) sameAs m.02x53ln.
- Word_(group_theory) sameAs Q10944557.
- Word_(group_theory) sameAs 字_(群論).
- Word_(group_theory) wasDerivedFrom Word_(group_theory)?oldid=646855645.
- Word_(group_theory) isPrimaryTopicOf Word_(group_theory).