Download E-books The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups (SpringerBriefs in Mathematics) PDF

This manuscript is dedicated to classifying the isomorphism periods of the just about cyclic subgroups of the braid teams of the 2-sphere. in addition to allowing us to appreciate larger the worldwide constitution of those teams, it marks a tremendous step within the computation of the K-theory in their workforce jewelry. The type itself is a bit of tricky, as a result of the wealthy constitution of the finite subgroups of those braid teams, and is accomplished via an in-depth research in their group-theoretical and topological homes, akin to their centralisers, normalisers and cohomological periodicity. one other very important point of our paintings is the shut dating of the braid teams with mapping classification teams. This manuscript will function a reference for the learn of braid teams of low-genus surfaces, and isaddressed to graduate scholars and researchers in low-dimensional, geometric and algebraic topology and in algebra. ​

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