The Lower Algebraic KTheory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)
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The work The Lower Algebraic KTheory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2) represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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The Lower Algebraic KTheory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)
Resource Information
The work The Lower Algebraic KTheory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2) represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 The Lower Algebraic KTheory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)
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 by John Guaschi, Daniel JuanPineda, Silvia Millán López
 Language
 eng
 Summary
 This volume deals with the Ktheoretical aspects of the group rings of braid groups of the 2sphere. The lower algebraic Ktheory 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 reveal new Ktheoretical phenomena with respect to the previous study of other families of groups. The second part of the manuscript focusses on the case of the 4string braid group of the 2sphere, which is shown to be hyperbolic in the sense of Gromov. This permits the computation of the infinite maximal virtually cyclic subgroups of this group and their conjugacy classes, and applying the fact that this group satisfies the Fibred Isomorphism Conjecture of Farrell and Jones, leads to an explicit calculation of its lower Ktheory. Researchers and graduate students working in Ktheory and surface braid groups will constitute the primary audience of the manuscript, particularly those interested in the Fibred Isomorphism Conjecture, and the computation of Nil groups and the lower algebraic Kgroups of group rings. The manuscript will also provide a useful resource to researchers who wish to learn the techniques needed to calculate lower algebraic Kgroups, and the bibliography brings together a large number of references in this respect
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 0
 LC call number
 QA174183
 Literary form
 non fiction
 Series statement
 SpringerBriefs in Mathematics,
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