Algebraic & Geometric Topology Volume 7, issue 4 (2007)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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The center of some braid groups and the Farrell cohomology of certain pure mapping class groups

Yu Qing Chen, Henry H Glover and Craig A Jensen

Algebraic & Geometric Topology 7 (2007) 1987–2006

DOI: 10.2140/agt.2007.7.1987

Bibliography

1	E Artin, Theorie der Zopfe, Hamburg Abh. 4 (1925) 47
2	E Artin, Theory of braids, Ann. of Math. $(2)$ 48 (1947) 101 MR0019087
3	E Artin, Braids and permutations, Ann. of Math. $(2)$ 48 (1947) 643 MR0020989
4	J S Birman, Braids, links, and mapping class groups, Annals of Mathematics Studies 82, Princeton University Press (1974) MR0375281
5	J S Birman, H M Hilden, On isotopies of homeomorphisms of Riemann surfaces, Ann. of Math. $(2)$ 97 (1973) 424 MR0325959
6	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
7	Y Q Chen, H H Glover, C A Jensen, Prime order subgroups of mapping class groups
8	F R Cohen, Artin's braid group and the homology of certain subgroups of the mapping class group, Mem. Amer. Math. Soc. 90 (1991) 6 MR1052554
9	W Dicks, E Formanek, Automorphism subgroups of finite index in algebraic mapping class groups, J. Algebra 189 (1997) 58 MR1432365
10	E Fadell, L Neuwirth, Configuration spaces, Math. Scand. 10 (1962) 111 MR0141126
11	Q Lu, Cohomological properties of the punctured mapping class groups, PhD thesis, Ohio State University (1998)
12	Q Lu, Periodicity of the punctured mapping class group, J. Pure Appl. Algebra 155 (2001) 211 MR1801416
13	Q Lu, Farrell cohomology of low genus pure mapping class groups with punctures, Algebr. Geom. Topol. 2 (2002) 537 MR1917066
14	G Mislin, Mapping class groups, characteristic classes, and Bernoulli numbers, from: "The Hilton Symposium 1993 (Montreal, PQ)", CRM Proc. Lecture Notes 6, Amer. Math. Soc. (1994) 103 MR1290586
15	Y Xia, The $p$–torsion of the Farrell–Tate cohomology of the mapping class group $\Gamma_{(p-1)/2}$, from: "Topology '90 (Columbus, OH, 1990)", Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 391 MR1184423
16	H Zieschang, Finite groups of mapping classes of surfaces, Lecture Notes in Mathematics 875, Springer (1981) MR643627