Geometry & Topology Volume 16, issue 1 (2012)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Krull dimension for limit groups

Larsen Louder

Geometry & Topology 16 (2012) 219–299

DOI: 10.2140/gt.2012.16.219

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