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

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...

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Hlavný autor: Guaschi, John (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydavateľské údaje: Cham : Springer International Publishing, 2018.
Vydanie:1st ed. 2018.
Edícia:SpringerBriefs in Mathematics,
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ISBN:9783319994895
ISSN:2191-8198
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Obsah:
  • 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.