Matches in DBpedia 2016-04 for { ?s ?p "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."@en }
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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.".
- Q6951485 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.".