Volume 11, issue 3 (2011)

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Obtaining presentations from group actions without making choices

Andrew Putman

Algebraic & Geometric Topology 11 (2011) 1737–1766
Bibliography
1 M A Armstrong, On the fundamental group of an orbit space, Proc. Cambridge Philos. Soc. 61 (1965) 639 MR0187244
2 M A Armstrong, A presentation for a group of automorphisms of a simplicial complex, Glasgow Math. J. 30 (1988) 331 MR964580
3 B van den Berg, On the Abelianization of the Torelli group, doctoral thesis, University of Utrecht (2003)
4 R H Bing, Some aspects of the topology of 3–manifolds related to the Poincaré conjecture, from: "Lectures on modern mathematics, Vol II", Wiley (1964) 93 MR0172254
5 A Björner, M Wachs, On lexicographically shellable posets, Trans. Amer. Math. Soc. 277 (1983) 323 MR690055
6 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999) MR1744486
7 K S Brown, Presentations for groups acting on simply-connected complexes, J. Pure Appl. Algebra 32 (1984) 1 MR739633
8 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1994) MR1324339
9 R E Goodrick, Non-simplicially collapsible triangulations of $I^{n}$, Proc. Cambridge Philos. Soc. 64 (1968) 31 MR0220272
10 A Hatcher, W Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980) 221 MR579573
11 D Johnson, The structure of the Torelli group I: A finite set of generators for $\cal{I}$, Ann. of Math. $(2)$ 118 (1983) 423 MR727699
12 D Johnson, The structure of the Torelli group III: The abelianization of $\mathcal{T}$, Topology 24 (1985) 127 MR793179
13 H Maazen, Homology stability for the general linear group, doctoral thesis, University of Utrecht (1979)
14 J McCool, Some finitely presented subgroups of the automorphism group of a free group, J. Algebra 35 (1975) 205 MR0396764
15 D McCullough, A Miller, The genus 2 Torelli group is not finitely generated, Topology Appl. 22 (1986) 43 MR831180
16 G Mess, The Torelli groups for genus 2 and 3 surfaces, Topology 31 (1992) 775 MR1191379
17 J Milnor, Introduction to algebraic $K$–theory, Annals of Mathematics Studies 72, Princeton University Press (1971) MR0349811
18 A Putman, Presentations for the level 2 and 3 congruence subgroups of $\mathrm{SL}_n(\mathbb{Z})$, in preparation
19 A Putman, An infinite presentation of the Torelli group, Geom. Funct. Anal. 19 (2009) 591 MR2545251
20 J P Serre, Trees, Springer (1980) MR607504
21 E H Spanier, Algebraic topology, McGraw-Hill Book Co. (1966) MR0210112