The classification of the virtually cyclic subgroups of the sphere braid groups [[electronic resource] /] / by Daciberg Lima Goncalves, John Guaschi
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| Autore: |
Lima Goncalves Daciberg
|
| Titolo: |
The classification of the virtually cyclic subgroups of the sphere braid groups [[electronic resource] /] / by Daciberg Lima Goncalves, John Guaschi
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013 |
| Edizione: | 1st ed. 2013. |
| Descrizione fisica: | 1 online resource (111 p.) |
| Disciplina: | 512.2 |
| Soggetto topico: | Group theory |
| Algebraic topology | |
| Algebra | |
| Group Theory and Generalizations | |
| Algebraic Topology | |
| Persona (resp. second.): | GuaschiJohn |
| Note generali: | Description based upon print version of record. |
| Nota di contenuto: | Introduction and statement of the main results -- Virtually cyclic groups: generalities, reduction and the mapping class group -- Realisation of the elements of V1(n) and V2(n) in Bn(S2) -- Appendix: The subgroups of the binary polyhedral groups -- References. . |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | The classification of the virtually cyclic subgroups of the sphere braid groups |
| ISBN: | 3-319-00257-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910741172603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Mathematics, . 2191-8198