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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151453.0 |
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130907s2013 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319002576 |
|
978-3-319-00257-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA174-183 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.2 |
Edition number |
23 |
264 #1 - |
-- |
Cham : |
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Springer International Publishing : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Lima Goncalves, Daciberg. |
Relator term |
author. |
245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Daciberg Lima Goncalves, John Guaschi. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
X, 102 p. 26 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
SpringerBriefs in Mathematics, |
International Standard Serial Number |
2191-8198 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
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. . |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Group theory. |
|
Topical term or geographic name as entry element |
Algebraic topology. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
|
Topical term or geographic name as entry element |
Algebraic Topology. |
|
Topical term or geographic name as entry element |
Algebra. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Guaschi, John. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783319002569 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-319-00257-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |