The classification of the virtually cyclic subgroups of the sphere braid groups

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The classification of the virtually cyclic subgroups of the sphere braid groups

Goncalves, Daciberg Lima - Nama Orang; Guaschi, John - Nama Orang;

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.

Ketersediaan

Perpustakaan Pusat E703

E703

Tersedia

Informasi Detail

Judul Seri: SpringerBriefs in Mathematics
No. Panggil: E703
Penerbit: Swiss : Springer Cham., 2013
Deskripsi Fisik: x, 102
Bahasa: English
ISBN/ISSN: 9783319002576
Klasifikasi: NONE
Tipe Isi: text
Tipe Media: computer
Tipe Pembawa: online resource
Edisi: -
Subjek: Topologi Aljabar
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Daciberg Lima Goncalves, John Guaschi

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The classification of the virtually cyclic subgroups of the sphere braid groups
https://doi.org/10.1007/978-3-319-00257-6

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