Algebraic & Geometric Topology Volume 19, issue 4 (2019)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

Boundaries of Baumslag–Solitar groups

Craig R Guilbault, Molly A Moran and Carrie J Tirel

Algebraic & Geometric Topology 19 (2019) 2077–2097

DOI: 10.2140/agt.2019.19.2077

Bibliography

1	H Abels, A Manoussos, G Noskov, Proper actions and proper invariant metrics, J. Lond. Math. Soc. 83 (2011) 619 MR2802502
2	C Béguin, H Bettaieb, A Valette, K–theory for C^∗–algebras of one-relator groups, K–Theory 16 (1999) 277 MR1681180
3	M Bestvina, Local homology properties of boundaries of groups, Michigan Math. J. 43 (1996) 123 MR1381603
4	M Bestvina, G Mess, The boundary of negatively curved groups, J. Amer. Math. Soc. 4 (1991) 469 MR1096169
5	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
6	F Dahmani, Classifying spaces and boundaries for relatively hyperbolic groups, Proc. London Math. Soc. 86 (2003) 666 MR1974394
7	A N Dranishnikov, On Bestvina–Mess formula, from: "Topological and asymptotic aspects of group theory" (editors R Grigorchuk, M Mihalik, M Sapir, Z Šunik), Contemp. Math. 394, Amer. Math. Soc. (2006) 77 MR2216707
8	F T Farrell, J F Lafont, EZ-structures and topological applications, Comment. Math. Helv. 80 (2005) 103 MR2130569
9	S M Gersten, Dehn functions and l₁–norms of finite presentations, from: "Algorithms and classification in combinatorial group theory" (editor G Baumslag), Math. Sci. Res. Inst. Publ. 23, Springer (1992) 195 MR1230635
10	C Guilbault, M Moran, Proper homotopy types and 𝒵–boundaries of spaces admitting geometric group actions, Expo. Math. (2018)
11	A Martin, Non-positively curved complexes of groups and boundaries, Geom. Topol. 18 (2014) 31 MR3158772
12	D Matsnev, Asymptotic dimension of one relator groups, Colloq. Math. 111 (2008) 85 MR2353933
13	D Meintrup, T Schick, A model for the universal space for proper actions of a hyperbolic group, New York J. Math. 8 (2002) 1 MR1887695
14	D Osajda, P Przytycki, Boundaries of systolic groups, Geom. Topol. 13 (2009) 2807 MR2546621
15	B Pietsch, 𝒵–structures and semidirect products with an infinite cyclic group, PhD thesis, The University of Wisconsin - Milwaukee (2018) MR3864892
16	C J Tirel, 𝒵–structures on product groups, Algebr. Geom. Topol. 11 (2011) 2587 MR2836296
17	K Whyte, The large scale geometry of the higher Baumslag–Solitar groups, Geom. Funct. Anal. 11 (2001) 1327 MR1878322
18	G Yu, The Novikov conjecture for groups with finite asymptotic dimension, Ann. of Math. 147 (1998) 325 MR1626745