DBpedia 2016-04

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Non-abelian_group abstract "In mathematics, a nonabelian group, sometimes called a noncommutative group, is a group ( G, ∗ ) in which there exists at least one pair of elements a and b of G, such that a ∗ b ≠ b ∗ a. This class of groups contrasts with the abelian groups. (In an abelian group, all pairs of group elements commute).Nonabelian groups are pervasive in mathematics and physics. One of the simplest examples of a nonabelian group is the dihedral group of order 6. It is the smallest finite nonabelian group. A common example from physics is the rotation group SO(3) in three dimensions (rotating something 90 degrees away from you and then 90 degrees to the left is not the same as doing them the other way round).Both discrete groups and continuous groups may be nonabelian. Most of the interesting Lie groups are nonabelian, and these play an important role in gauge theory.".
Non-abelian_group wikiPageID "4791400".
Non-abelian_group wikiPageLength "1696".
Non-abelian_group wikiPageOutDegree "17".
Non-abelian_group wikiPageRevisionID "691956962".
Non-abelian_group wikiPageWikiLink Abelian_group.
Non-abelian_group wikiPageWikiLink Associative_algebra.
Non-abelian_group wikiPageWikiLink Category:Properties_of_groups.
Non-abelian_group wikiPageWikiLink Commutative_property.
Non-abelian_group wikiPageWikiLink Dihedral_group_of_order_6.
Non-abelian_group wikiPageWikiLink Discrete_group.
Non-abelian_group wikiPageWikiLink Gauge_theory.
Non-abelian_group wikiPageWikiLink Group_(mathematics).
Non-abelian_group wikiPageWikiLink Group_theory.
Non-abelian_group wikiPageWikiLink Lie_group.
Non-abelian_group wikiPageWikiLink Mathematics.
Non-abelian_group wikiPageWikiLink Niels_Henrik_Abel.
Non-abelian_group wikiPageWikiLink Noncommutative_geometry.
Non-abelian_group wikiPageWikiLink Physics.
Non-abelian_group wikiPageWikiLink Rotation_group_SO(3).
Non-abelian_group wikiPageWikiLink Topological_group.
Non-abelian_group wikiPageWikiLinkText "Non-Abelian Group".
Non-abelian_group wikiPageWikiLinkText "Non-Abelian".
Non-abelian_group wikiPageWikiLinkText "Non-abelian group".
Non-abelian_group wikiPageWikiLinkText "non-Abelian groups".
Non-abelian_group wikiPageWikiLinkText "non-Abelian".
Non-abelian_group wikiPageWikiLinkText "non-abelian gauge group".
Non-abelian_group wikiPageWikiLinkText "non-abelian group".
Non-abelian_group wikiPageWikiLinkText "non-abelian".
Non-abelian_group wikiPageWikiLinkText "non-commutative".
Non-abelian_group wikiPageWikiLinkText "nonabelian group".
Non-abelian_group wikiPageWikiLinkText "nonabelian".
Non-abelian_group wikiPageUsesTemplate Template:Group_theory_sidebar.
Non-abelian_group wikiPageUsesTemplate Template:Reflist.
Non-abelian_group subject Category:Properties_of_groups.
Non-abelian_group hypernym Group.
Non-abelian_group type Band.
Non-abelian_group type Property.
Non-abelian_group type Redirect.
Non-abelian_group comment "In mathematics, a nonabelian group, sometimes called a noncommutative group, is a group ( G, ∗ ) in which there exists at least one pair of elements a and b of G, such that a ∗ b ≠ b ∗ a. This class of groups contrasts with the abelian groups. (In an abelian group, all pairs of group elements commute).Nonabelian groups are pervasive in mathematics and physics. One of the simplest examples of a nonabelian group is the dihedral group of order 6. It is the smallest finite nonabelian group.".
Non-abelian_group label "Non-abelian group".
Non-abelian_group sameAs Q592651.
Non-abelian_group sameAs Grup_no-abelià.
Non-abelian_group sameAs Niet-abelse_groep.
Non-abelian_group sameAs m.02p8kz1.
Non-abelian_group sameAs Q592651.
Non-abelian_group sameAs 非阿贝尔群.
Non-abelian_group wasDerivedFrom Non-abelian_group?oldid=691956962.
Non-abelian_group isPrimaryTopicOf Non-abelian_group.