Volume 16, issue 1 (2012)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Krull dimension for limit groups

Larsen Louder

Geometry & Topology 16 (2012) 219–299
Bibliography
1 G Baumslag, A remark on generalized free products, Proc. Amer. Math. Soc. 13 (1962) 53 MR0133357
2 G Baumslag, A Myasnikov, V Remeslennikov, Algebraic geometry over groups, from: "Algorithmic problems in groups and semigroups (Lincoln, NE, 1998)" (editors J C Birget, S Margolis, J Meakin, M Sapir), Trends Math., Birkhäuser (2000) 35 MR1750491
3 M Bestvina, M Feighn, Bounding the complexity of simplicial group actions on trees, Invent. Math. 103 (1991) 449 MR1091614
4 M Bestvina, M Feighn, Notes on Sela's work: limit groups and Makanin–Razborov diagrams, from: "Geometric and cohomological methods in group theory" (editors M R Bridson, P H Kropholler, I J Leary), London Math. Soc. Lecture Note Ser. 358, Cambridge Univ. Press (2009) 1 MR2605174
5 C Champetier, V Guirardel, Limit groups as limits of free groups, Israel J. Math. 146 (2005) 1 MR2151593
6 M J Dunwoody, Folding sequences, from: "The Epstein birthday schrift" (editors I Rivin, C Rourke, C Series), Geom. Topol. Monogr. 1 (1998) 139 MR1668347
7 M J Dunwoody, M E Sageev, JSJ-splittings for finitely presented groups over slender groups, Invent. Math. 135 (1999) 25 MR1664694
8 K Fujiwara, P Papasoglu, JSJ-decompositions of finitely presented groups and complexes of groups, Geom. Funct. Anal. 16 (2006) 70 MR2221253
9 O Kharlampovich, A Myasnikov, Elementary theory of free non-abelian groups, J. Algebra 302 (2006) 451 MR2293770
10 L Louder, Scott complexity and adjoining roots to finitely generated groups arXiv:math/0612222
11 E Rips, Z Sela, Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Ann. of Math. $(2)$ 146 (1997) 53 MR1469317
12 W Rossmann, Lie groups: An introduction through linear groups, Oxford Graduate Texts in Math. 5, Oxford Univ. Press (2002) MR1889121
13 G P Scott, Finitely generated $3$–manifold groups are finitely presented, J. London Math. Soc. $(2)$ 6 (1973) 437 MR0380763
14 Z Sela, Diophantine geometry over groups I: Makanin–Razborov diagrams, Publ. Math. Inst. Hautes Études Sci. (2001) 31 MR1863735
15 J R Stallings, A topological proof of Grushko's theorem on free products, Math. Z. 90 (1965) 1 MR0188284
16 J R Stallings, Topology of finite graphs, Invent. Math. 71 (1983) 551 MR695906
17 J R Stallings, Foldings of $G$–trees, from: "Arboreal group theory (Berkeley, CA, 1988)" (editor R C Alperin), Math. Sci. Res. Inst. Publ. 19, Springer (1991) 355 MR1105341
18 G A Swarup, Delzant's variation on Scott complexity arXiv:math.GR/0401308
19 H Wilton, Solutions to Bestvina & Feighn's exercises on limit groups, from: "Geometric and cohomological methods in group theory" (editors M R Bridson, P H Kropholler, I J Leary), London Math. Soc. Lecture Note Ser. 358, Cambridge Univ. Press (2009) 30 MR2605175