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

• Main Authors: Lima Goncalves, Daciberg. (Author), Guaschi, John. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Algebra.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Algebraic Topology.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-319-00257-6

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...

Table of Contents:

• 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
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