|
Geometry & Topology 14 (2010)
435–472
|
| 1 |
J M Alonso,
W A Bogley, R M Burton, S J
Pride, X Wang, Second order Dehn
functions of groups, Quart. J. Math. Oxford Ser. (2) 49
(1998) 1–30 MR1617319 |
| 2 |
J M Alonso, X
Wang, S J Pride, Higher-dimensional
isoperimetric (or Dehn) functions of groups, J. Group
Theory 2 (1999) 81–112 MR1670329 |
| 3 |
B H Bowditch,
A short
proof that a subquadratic isoperimetric inequality implies a
linear one, Michigan Math. J. 42 (1995) 103–107
MR1322192 |
| 4 |
N Brady, M R
Bridson, There is only one gap in
the isoperimetric spectrum, Geom. Funct. Anal. 10
(2000) 1053–1070 MR1800063 |
| 5 |
N Brady, M R
Bridson, M Forester, K Shankar, Snowflake groups,
Perron–Frobenius eigenvalues and isoperimetric
spectra, Geom. Topol. 13 (2009) 141–187 MR2469516 |
| 6 |
M R Bridson,
The geometry of the word problem, from: "Invitations to
geometry and topology" (editors M R Bridson, S M
Salamon), Oxf. Grad. Texts Math. 7, Oxford Univ. Press (2002)
29–91 MR1967746 |
| 7 |
M R Bridson,
Polynomial Dehn
functions and the length of asynchronously automatic
structures, Proc. London Math. Soc. (3) 85 (2002)
441–466 MR1912057 |
| 8 |
S Buoncristiano,
C P Rourke, B J Sanderson, A
geometric approach to homology theory, London Math. Soc.
Lecture Note Ser. 18, Cambridge Univ. Press (1976) MR0413113 |
| 9 |
J Burillo, J
Taback, Equivalence of
geometric and combinatorial Dehn functions, New York J.
Math. 8 (2002) 169–179 MR1934388 |
| 10 |
D Calegari,
Foliations and the geometry of 3–manifolds, Oxford
Math. Monogr., Oxford Univ. Press (2007) MR2327361 |
| 11 |
D B A
Epstein, The degree of a
map, Proc. London Math. Soc. (3) 16 (1966)
369–383 MR0192475 |
| 12 |
A Eskin, D
Fisher, K Whyte, Coarse differentiation of
quasi-isometries I: spaces not quasi-isometric to Cayley
graphs arXiv:math.GR/0607207 |
| 13 |
B Farb, L
Mosher, A rigidity theorem
for the solvable Baumslag–Solitar groups, Invent.
Math. 131 (1998) 419–451 MR1608595
With an appendix by D Cooper |
| 14 |
B Farb, L
Mosher, On the asymptotic
geometry of abelian-by-cyclic groups, Acta Math. 184
(2000) 145–202 MR1768110 |
| 15 |
M Gromov, Partial
differential relations, Ergebnisse der Math. und ihrer
Grenzgebiete (3) 9, Springer (1986) MR864505 |
| 16 |
M Gromov,
Hyperbolic groups, from: "Essays in group theory"
(editor S M Gersten), Math. Sci. Res. Inst. Publ. 8,
Springer (1987) 75–263 MR919829 |
| 17 |
M Gromov, Metric
structures for Riemannian and non-Riemannian spaces,
Progress in Math. 152, Birkhäuser (1999) MR1699320
Based on the 1981 French original [MR0682063], With appendices
by M Katz, P Pansu and S Semmes, Translated from
the French by S M Bates |
| 18 |
V S Guba,
M V Sapir, On Dehn
functions of free products of groups, Proc. Amer. Math.
Soc. 127 (1999) 1885–1891 MR1469408 |
| 19 |
H Hopf, Zur Topologie der
Abbildungen von Mannigfaltigkeiten, Math. Ann. 102
(1930) 562–623 MR1512596 |
| 20 |
A Y
Ol″shanskiĭ, Hyperbolicity of
groups with subquadratic isoperimetric inequality,
Internat. J. Algebra Comput. 1 (1991) 281–289 MR1148230 |
| 21 |
P Papasoglu, On the
sub-quadratic isoperimetric inequality, from: "Geometric
group theory (Columbus, OH, 1992)" (editors R Charney, M Davis,
M Shapiro), Ohio State Univ. Math. Res. Inst. Publ. 3, de
Gruyter (1995) 149–157 MR1355109 |
| 22 |
P Papasoglu,
Isodiametric and
isoperimetric inequalities for complexes and groups, J.
London Math. Soc. (2) 62 (2000) 97–106 MR1771853 |
| 23 |
C P Rourke,
Presentations and the trivial group, from: "Topology of
low-dimensional manifolds (Proc. Second Sussex Conf., Chelwood
Gate, 1977)" (editor R A Fenn), Lecture Notes in Math.
722, Springer (1979) 134–143 MR547460 |
| 24 |
M V Sapir,
J C Birget, E Rips, Isoperimetric and
isodiametric functions of groups, Ann. of Math. (2) 156
(2002) 345–466 MR1933723 |
| 25 |
J R Stallings,
A graph-theoretic lemma and group-embeddings, from:
"Combinatorial group theory and topology (Alta, Utah, 1984)",
Ann. of Math. Stud. 111, Princeton Univ. Press (1987)
145–155 MR895613 |
| 26 |
X Wang, Second
order Dehn functions of finitely presented groups and
monoids, PhD thesis, University of Glasgow (1996) |
| 27 |
X Wang, S J
Pride, Second order Dehn functions and
HNN–extensions, J. Austral. Math. Soc. Ser. A 67
(1999) 272–288 MR1717418 |
| 28 |
R Young,
Homological and homotopical higher-order filling
functions, to appear in Groups Geom. Dyn. arXiv:0805.0584 |
