Volume 1 (1998)

Download this article
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN 1464-8997 (online)
ISSN 1464-8989 (print)
 
MSP Books and Monographs
Other MSP Publications

Controlled embeddings into groups that have no non-trivial finite quotients

Martin R Bridson

Geometry & Topology Monographs 1 (1998) 99–116

DOI: 10.2140/gtm.1998.1.99

Bibliography
1 J M Alonso, Inégalités isopérimétriques et quasi-isométries, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990) 761–764 MR1082628
2 M R Bridson, Doubles, finiteness properties of groups, and quadratic isoperimetric inequalities, J. Algebra 214 (1999) 652–667 MR1680601
3 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999) MR1744486
4 W W Boone, G Higman, An algebraic characterization of groups with soluble word problem, J. Austral. Math. Soc. 18 (1974) 41–53 MR0357625 Collection of articles dedicated to the memory of Hanna Neumann, IX
5 M Burger, S Mozes, Finitely presented simple groups and products of trees, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997) 747–752 MR1446574
6 G Baumslag, D Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc. 68 (1962) 199–201 MR0142635
7 S M Gersten, Isoperimetric and isodiametric functions of finite presentations, from: "Geometric group theory, Vol. 1 (Sussex, 1991)", London Math. Soc. Lecture Note Ser. 181, Cambridge Univ. Press (1993) 79–96 MR1238517
8 M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75–263 MR919829
9 A Haefliger, Complexes of groups and orbihedra, from: "Group theory from a geometrical viewpoint (Trieste, 1990)", World Sci. Publ., River Edge, NJ (1991) 504–540 MR1170375
10 G Higman, Finitely presented infinite simple groups, Notes on Pure Mathematics 8, Department of Pure Mathematics, Department of Mathematics, I.A.S. Australian National University, Canberra (1974) MR0376874
11 G Higman, B H Neumann, H Neumann, Embedding theorems for groups, J. London Math. Soc. 24 (1949) 247–254 MR0032641
12 T Hsu, D T Wise, Embedding theorems for non-positively curved polygons of finite groups, J. Pure Appl. Algebra 123 (1998) 201–221 MR1492901
13 R C Lyndon, P E Schupp, Combinatorial group theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 89, Springer (1977) MR0577064
14 A Malcev, On isomorphic matrix representations of infinite groups, Mat. Sbornik N.S. 8 (50) (1940) 405–422 MR0003420
15 D Meier, Non-Hopfian groups, J. London Math. Soc. (2) 26 (1982) 265–270 MR675169
16 A Y Ol'shanskiĭ, SQ–universality of hyperbolic groups, Mat. Sb. 186 (1995) 119–132 MR1357360
17 P E Schupp, Embeddings into simple groups, J. London Math. Soc. (2) 13 (1976) 90–94 MR0401932
18 J P Serre, Trees, Springer (1980) MR607504 Translated from the French by John Stillwell
19 D T Wise, A non-Hopfian automatic group, J. Algebra 180 (1996) 845–847 MR1379212
20 D T Wise, Non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups, PhD thesis, Princeton University (1996)
21 D T Wise, A non-positively curved squared complex with no finite covers, preprint (1995)