000			02919nam a22004935i 4500
001			978-3-319-00257-6
003			DE-He213
005			20140220082837.0
007			cr nn 008mamaa
008			130907s2013 gw | s |||| 0|eng d
020			_a9783319002576 _9978-3-319-00257-6
024	7		_a10.1007/978-3-319-00257-6 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aLima Goncalves, Daciberg. _eauthor.
245	1	4	_aThe Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups _h[electronic resource] / _cby Daciberg Lima Goncalves, John Guaschi.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2013.
300			_aX, 102 p. 26 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Mathematics, _x2191-8198
505	0		_aIntroduction 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			_aThis 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	_aMathematics.
650		0	_aAlgebra.
650		0	_aGroup theory.
650		0	_aAlgebraic topology.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aAlgebraic Topology.
650	2	4	_aAlgebra.
700	1		_aGuaschi, John. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319002569
830		0	_aSpringerBriefs in Mathematics, _x2191-8198
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-00257-6
912			_aZDB-2-SMA
999			_c96383 _d96383