Volume 11, issue 2 (2011)

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

Volume 25
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Volume distortion in groups

Hanna Bennett

Algebraic & Geometric Topology 11 (2011) 655–690
Bibliography
1 D Allcock, An isoperimetric inequality for the Heisenberg groups, Geom. Funct. Anal. 8 (1998) 219 MR1616147
2 J M Alonso, X Wang, S J Pride, Higher-dimensional isoperimetric (or Dehn) functions of groups, J. Group Theory 2 (1999) 81 MR1670329
3 G Baumslag, M R Bridson, C F Miller III, H Short, Finitely presented subgroups of automatic groups and their isoperimetric functions, J. London Math. Soc. (2) 56 (1997) 292 MR1489138
4 N Brady, M Forester, Density of isoperimetric spectra, Geom. Topol. 14 (2010) 435 MR2578308
5 J Burillo, J Taback, Equivalence of geometric and combinatorial Dehn functions, New York J. Math. 8 (2002) 169 MR1934388
6 M Dehn, Über unendliche diskontinuierliche Gruppen, Math. Ann. 71 (1911) 116 MR1511645
7 D B A Epstein, J W Cannon, D F Holt, S V F Levy, M S Paterson, W P Thurston, Word processing in groups, Jones and Bartlett (1992) MR1161694
8 B Farb, The extrinsic geometry of subgroups and the generalized word problem, Proc. London Math. Soc. (3) 68 (1994) 577 MR1262309
9 B Farb, L Mosher, On the asymptotic geometry of abelian-by-cyclic groups, Acta Math. 184 (2000) 145 MR1768110
10 S M Gersten, Preservation and distortion of area in finitely presented groups, Geom. Funct. Anal. 6 (1996) 301 MR1384614
11 G Greiter, A simple proof for a theorem of Kronecker, Amer. Math. Monthly 85 (1978) 756 MR514044
12 M Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983) 1 MR697984
13 K Madlener, F Otto, Pseudonatural algorithms for the word problem for finitely presented monoids and groups, J. Symbolic Comput. 1 (1985) 383 MR849044
14 A Y Olshanskii, M V Sapir, Quadratic isometric functions of the Heisenberg groups. A combinatorial proof, J. Math. Sci. 93 (1999) 921 MR1698761
15 P Papasoglu, Isodiametric and isoperimetric inequalities for complexes and groups, J. London Math. Soc. (2) 62 (2000) 97 MR1771853
16 M V Sapir, J C Birget, E Rips, Isoperimetric and isodiametric functions of groups, Ann. of Math. (2) 156 (2002) 345 MR1933723
17 R Young, Homological and homotopical higher-order filling functions, to appear in Groups, Geom. Dyn. arXiv:0805.0584