| 书目名称 | The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of | | 编辑 | John Guaschi,Daniel Juan-Pineda,Silvia Millán Lópe | | 视频video | | | 概述 | Includes many worked examples of K-theory computations for finite groups.A useful reference for researchers in K-theory, bringing together a broad array of techniques and references in one place, and | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .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 reveal new K-theoretical phenomena with respect to the previous study of other families of groups. The second part of the manuscript focusses on the case of the 4-string braid group of the 2-sphere, 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 K-theory. .Researchers and graduate students working in K-theory 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 K-groups of group rings. The manuscript will also provide a useful resource to researchers who wis | | 出版日期 | Book 2018 | | 关键词 | 20F36,19A31,19B28,14C35,18F25,13D15,16S3, 20C05, 20E45, 20G05; lower algebraic K-theory; surface braid | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-99489-5 | | isbn_softcover | 978-3-319-99488-8 | | isbn_ebook | 978-3-319-99489-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2018 |
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发表于 2025-3-21 19:57:15
