The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups
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 ring...
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| المؤلفون الرئيسيون: | , |
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2013. |
| سلاسل: | SpringerBriefs in Mathematics
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups, Texte imprimé, 9783319002583 • The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups, Daciberg Lima Gonçalves, John Guaschi, 2013, Cham, Springer, 1 vol. (X-102 p.), Springer briefs in mathematics, 978-3-319-00256-9 |
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| 041 | 0 | |a eng | |
| 082 | |a 512.2 | ||
| 100 | 1 | |a Gonçalves, Daciberg Lima, |c mathématicien. | |
| 245 | 1 | 0 | |a The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups |c by Daciberg Lima Goncalves, John Guaschi. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Cham : |b Springer International Publishing. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a SpringerBriefs in Mathematics |x 2191-8201 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 700 | 1 | |a Guaschi, John. |4 aut | |
| 776 | 0 | |t The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups |b Texte imprimé |z 9783319002583 | |
| 776 | 0 | |0 172035783 |t The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups |f Daciberg Lima Gonçalves, John Guaschi |d 2013 |c Cham |n Springer |p 1 vol. (X-102 p.) |s Springer briefs in mathematics |z 978-3-319-00256-9 | |
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