The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups

• Κύριοι συγγραφείς: Lima Goncalves, Daciberg (Συγγραφέας), Guaschi, John (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Mathematics.; Algebra.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Algebraic Topology.

This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere. As well as enabling us to understand better the global structure of these groups, it marks an important step in the computation of the K-theory of their group ring...

Πίνακας περιεχομένων:

• Introduction and statement of the main results
• Virtually cyclic groups: generalities, reduction and the mapping class group
• Realisation of the elements of V1(n) and V2(n) in Bn(S2)
• Appendix: The subgroups of the binary polyhedral groups
• References.                                        .