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- Non-abelian_group abstract "In mathematics, a non-abelian group, also sometimes called a non-commutative group, is a group (G, * ) in which there are at least two elements a and b of G such that a * b ≠ b * a. The term non-abelian is used to distinguish from the idea of an abelian group, where all of the elements of the group commute. Non-abelian groups are pervasive in mathematics and physics. One of the simplest examples of a non-abelian group is the dihedral group of order 6. It is the smallest finite non-abelian 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 isn't the same as doing them the other way round), which is also called the quaternion group. Both discrete groups and continuous groups may be non-abelian. Most of the interesting Lie groups are non-abelian, and these play an important role in gauge theory.".
- Non-abelian_group wikiPageID "4791400".
- Non-abelian_group wikiPageRevisionID "594858590".
- Non-abelian_group hasPhotoCollection Non-abelian_group.
- Non-abelian_group subject Category:Properties_of_groups.
- Non-abelian_group type Abstraction100002137.
- Non-abelian_group type Possession100032613.
- Non-abelian_group type PropertiesOfGroups.
- Non-abelian_group type Property113244109.
- Non-abelian_group type Relation100031921.
- Non-abelian_group comment "In mathematics, a non-abelian group, also sometimes called a non-commutative group, is a group (G, * ) in which there are at least two elements a and b of G such that a * b ≠ b * a. The term non-abelian is used to distinguish from the idea of an abelian group, where all of the elements of the group commute. Non-abelian groups are pervasive in mathematics and physics. One of the simplest examples of a non-abelian group is the dihedral group of order 6.".
- Non-abelian_group label "Niet-abelse groep".
- Non-abelian_group label "Non-abelian group".
- Non-abelian_group label "非阿贝尔群".
- Non-abelian_group sameAs Niet-abelse_groep.
- Non-abelian_group sameAs m.02p8kz1.
- Non-abelian_group sameAs Q592651.
- Non-abelian_group sameAs Q592651.
- Non-abelian_group sameAs Non-abelian_group.
- Non-abelian_group wasDerivedFrom Non-abelian_group?oldid=594858590.
- Non-abelian_group isPrimaryTopicOf Non-abelian_group.