登入選單
返回Google圖書搜尋
The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups
Daciberg Lima GoncalvesJohn Guaschi
出版Springer Science & Business Media, 2013-09-08
主題Mathematics / Algebra / AbstractMathematics / TopologyMathematics / Algebra / GeneralMathematics / Group Theory
ISBN33190025709783319002576
URLhttp://books.google.com.hk/books?id=4W3ABAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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 rings. The classification itself is somewhat intricate, due to the rich structure of the finite subgroups of these braid groups, and is achieved by an in-depth analysis of their group-theoretical and topological properties, such as their centralisers, normalisers and cohomological periodicity. Another important aspect of our work is the close relationship of the braid groups with mapping class groups. This manuscript will serve as a reference for the study of braid groups of low-genus surfaces, and isaddressed to graduate students and researchers in low-dimensional, geometric and algebraic topology and in algebra. ​