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- Artin_group abstract "In mathematics, an Artin group (or generalized braid group) is a group with a presentation of the formwhere .For , denotes an alternating product of and of length , beginning with . For example, and .If , then there is (by convention) no relation for and .The integers can be organized into a symmetric matrix, known as the Coxeter matrix of the group. Each Artin group has as a quotient the Coxeter group with the same set of generators and Coxeter matrix. The kernel of the homomorphism to the associated Coxeter group, known as the pure Artin group, is generated by relations of the form .".
- Artin_group wikiPageExternalLink 0810.4867v2.pdf.
- Artin_group wikiPageExternalLink 0512401.pdf.
- Artin_group wikiPageExternalLink RAAGfinal.pdf.
- Artin_group wikiPageExternalLink graphproduct.pdf.
- Artin_group wikiPageID "1355702".
- Artin_group wikiPageRevisionID "593751413".
- Artin_group hasPhotoCollection Artin_group.
- Artin_group subject Category:Braid_groups.
- Artin_group subject Category:Geometric_group_theory.
- Artin_group subject Category:Group_theory.
- Artin_group subject Category:Properties_of_groups.
- Artin_group type Abstraction100002137.
- Artin_group type BraidGroups.
- Artin_group type Group100031264.
- Artin_group type Possession100032613.
- Artin_group type PropertiesOfGroups.
- Artin_group type Property113244109.
- Artin_group type Relation100031921.
- Artin_group comment "In mathematics, an Artin group (or generalized braid group) is a group with a presentation of the formwhere .For , denotes an alternating product of and of length , beginning with . For example, and .If , then there is (by convention) no relation for and .The integers can be organized into a symmetric matrix, known as the Coxeter matrix of the group. Each Artin group has as a quotient the Coxeter group with the same set of generators and Coxeter matrix.".
- Artin_group label "Artin group".
- Artin_group label "Artin-Gruppe".
- Artin_group label "Artin群".
- Artin_group sameAs Artin-Gruppe.
- Artin_group sameAs m.04w97_.
- Artin_group sameAs Q3956993.
- Artin_group sameAs Q3956993.
- Artin_group sameAs Artin_group.
- Artin_group wasDerivedFrom Artin_group?oldid=593751413.
- Artin_group isPrimaryTopicOf Artin_group.