The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)

• Main Authors: Guaschi, John (Author, http://id.loc.gov/vocabulary/relators/aut), Juan-Pineda, Daniel (http://id.loc.gov/vocabulary/relators/aut), Millán López, Silvia (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Group theory.; K-theory.; Commutative algebra.; Commutative rings.; Group Theory and Generalizations.; K-Theory.; Commutative Rings and Algebras.

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere. The lower algebraic K-theory of the finite subgroups of these groups up to eleven strings is computed using a wide variety of tools. Many of the techniques extend to the general case, and the results...

Table of Contents:

• Introduction
• Lower algebraic K-theory of the finite subgroups of Bn(S²)
• The braid group B4(S²) and the conjugacy classes of its maximal virtually cyclic subgroups
• Lower algebraic K-theory groups of the group ring Z[B4(S²)]
• Appendix A: The fibred isomorphism conjecture
• Appendix B: Braid groups
• References.