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- N-group_(category_theory) abstract "In mathematics, an n-group, or n-dimensional higher group, is a special kind of n-category that generalises the concept of group to higher-dimensional algebra. Here, n may be any natural number or infinity. The thesis of Alexander Grothendieck's student Hoàng Xuân Sính was an in-depth study of 2-groups under the monniker 'gr-category'.The general definition of n-group is a matter of ongoing research. However, it is expected that every topological space will have a homotopy n-group at every point, which will encapsulate the Postnikov tower of the space up to the homotopy group πn, or the entire Postnikov tower for n = ∞.The definition and many properties of 2-groups are already known. A 1-group is simply a group, and the only 0-group is trivial. 2-groups can be described using crossed modules.".
- N-group_(category_theory) wikiPageExternalLink 0708.1741.
- N-group_(category_theory) wikiPageExternalLink 0307200.
- N-group_(category_theory) wikiPageExternalLink sinh.html.
- N-group_(category_theory) wikiPageID "21368075".
- N-group_(category_theory) wikiPageLength "1652".
- N-group_(category_theory) wikiPageOutDegree "19".
- N-group_(category_theory) wikiPageRevisionID "672485219".
- N-group_(category_theory) wikiPageWikiLink 2-group.
- N-group_(category_theory) wikiPageWikiLink Alexander_Grothendieck.
- N-group_(category_theory) wikiPageWikiLink Category:Group_theory.
- N-group_(category_theory) wikiPageWikiLink Category:Higher_category_theory.
- N-group_(category_theory) wikiPageWikiLink Category:Homotopy_theory.
- N-group_(category_theory) wikiPageWikiLink Crossed_module.
- N-group_(category_theory) wikiPageWikiLink Group_(mathematics).
- N-group_(category_theory) wikiPageWikiLink Higher-dimensional_algebra.
- N-group_(category_theory) wikiPageWikiLink Higher_category_theory.
- N-group_(category_theory) wikiPageWikiLink Homotopy_group.
- N-group_(category_theory) wikiPageWikiLink Hoàng_Xuân_Sính.
- N-group_(category_theory) wikiPageWikiLink Infinity.
- N-group_(category_theory) wikiPageWikiLink John_C._Baez.
- N-group_(category_theory) wikiPageWikiLink Mathematics.
- N-group_(category_theory) wikiPageWikiLink Natural_number.
- N-group_(category_theory) wikiPageWikiLink Postnikov_system.
- N-group_(category_theory) wikiPageWikiLink Topological_space.
- N-group_(category_theory) wikiPageWikiLinkText "''n''-group (category theory)".
- N-group_(category_theory) wikiPageWikiLinkText "''n''-group".
- N-group_(category_theory) wikiPageWikiLinkText "''n''-groups".
- N-group_(category_theory) wikiPageWikiLinkText "n-group (category theory)".
- N-group_(category_theory) wikiPageUsesTemplate Template:Cattheory-stub.
- N-group_(category_theory) wikiPageUsesTemplate Template:Distinguish.
- N-group_(category_theory) subject Category:Group_theory.
- N-group_(category_theory) subject Category:Higher_category_theory.
- N-group_(category_theory) subject Category:Homotopy_theory.
- N-group_(category_theory) hypernym Kind.
- N-group_(category_theory) type Mapping.
- N-group_(category_theory) type Thing.
- N-group_(category_theory) comment "In mathematics, an n-group, or n-dimensional higher group, is a special kind of n-category that generalises the concept of group to higher-dimensional algebra. Here, n may be any natural number or infinity. The thesis of Alexander Grothendieck's student Hoàng Xuân Sính was an in-depth study of 2-groups under the monniker 'gr-category'.The general definition of n-group is a matter of ongoing research.".
- N-group_(category_theory) label "N-group (category theory)".
- N-group_(category_theory) differentFrom P-group.
- N-group_(category_theory) sameAs Q6951485.
- N-group_(category_theory) sameAs m.05fb034.
- N-group_(category_theory) sameAs Q6951485.
- N-group_(category_theory) wasDerivedFrom N-group_(category_theory)?oldid=672485219.
- N-group_(category_theory) isPrimaryTopicOf N-group_(category_theory).