Dehn function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dehn function" in English language version.

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J. Burillo and J. Taback. Equivalence of geometric and combinatorial Dehn functions. New York Journal of Mathematics, vol. 8 (2002), pp. 169–179.

ams.org

mathscinet.ams.org

M. Gromov, Hyperbolic Groups in: "Essays in Group Theory" (G. M. Gersten, ed.), MSRI Publ. 8, 1987, pp. 75–263. ISBN 0-387-96618-8.MR0919829
D. B. A. Epstein, J. W. Cannon, D. Holt, S. Levy, M. Paterson, W. Thurston. Word Processing in Groups. Jones and Bartlett Publishers, Boston, MA, 1992. ISBN 0-86720-244-0 MR1161694
A. Yu. Olʹshanskii. Hyperbolicity of groups with subquadratic isoperimetric inequality. International Journal of Algebra and Computation, vol. 1 (1991), no. 3, pp. 281–289. MR1148230doi:10.1142/S0218196791000183
B. H. Bowditch. A short proof that a subquadratic isoperimetric inequality implies a linear one. Michigan Mathematical Journal, vol. 42 (1995), no. 1, pp. 103–107. MR1322192doi:10.1307/mmj/1029005156
S. M. Gersten, D. F. Holt, T. R. Riley, Isoperimetric inequalities for nilpotent groups. Geometric and Functional Analysis, vol. 13 (2003), no. 4, pp. 795–814. MR2006557doi:10.1007/s00039-003-0430-y
Michael Handel and Lee Mosher, Lipschitz retraction and distortion for subgroups of Out(F_n). Geometry & Topology, vol. 17 (2013), no. 3, pp. 1535–1579. MR3073930doi:10.2140/gt.2013.17.1535

archive.today

Martin Greendlinger, Dehn's algorithm for the word problem. Communications on Pure and Applied Mathematics, vol. 13 (1960), pp. 67–83.
Martin R. Bridson and Karen Vogtmann, On the geometry of the automorphism group of a free group. Bulletin of the London Mathematical Society, vol. 27 (1995), no. 6, pp. 544–552.
Robert Young. Averaged Dehn functions for nilpotent groups. Topology, vol. 47 (2008), no. 5, pp. 351–367.

books.google.com

S. M. Gersten, Isoperimetric and isodiametric functions of finite presentations. Geometric group theory, Vol. 1 (Sussex, 1991), pp. 79–96, London Math. Soc. Lecture Note Ser., 181, Cambridge University Press, Cambridge, 1993.
Martin R. Bridson. The geometry of the word problem. Invitations to geometry and topology, pp. 29–91, Oxford Graduate Texts in Mathematics, 7, Oxford University Press, Oxford, 2002. ISBN 0-19-850772-0.
M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 319. Springer-Verlag, Berlin, 1999. ISBN 3-540-64324-9; Remark 1.7, p. 444.
Densi Osin. Relatively Hyperbolic Groups: Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems. Memoirs of the American Mathematical Society, vol. 179 (2006), no. 843. American Mathematical Society. ISBN 978-0-8218-3821-1.

doi.org

D. Allcock, An isoperimetric inequality for the Heisenberg groups. Geometric and Functional Analysis, vol. 8 (1998), no. 2, pp. 219–233.
V. S. Guba, The Dehn function of Richard Thompson's group F is quadratic. Inventiones Mathematicae, vol. 163 (2006), no. 2, pp. 313–342.
A. Yu. Olʹshanskii. Hyperbolicity of groups with subquadratic isoperimetric inequality. International Journal of Algebra and Computation, vol. 1 (1991), no. 3, pp. 281–289. MR1148230doi:10.1142/S0218196791000183
B. H. Bowditch. A short proof that a subquadratic isoperimetric inequality implies a linear one. Michigan Mathematical Journal, vol. 42 (1995), no. 1, pp. 103–107. MR1322192doi:10.1307/mmj/1029005156
S. M. Gersten, D. F. Holt, T. R. Riley, Isoperimetric inequalities for nilpotent groups. Geometric and Functional Analysis, vol. 13 (2003), no. 4, pp. 795–814. MR2006557doi:10.1007/s00039-003-0430-y
N. Brady and M. R. Bridson, There is only one gap in the isoperimetric spectrum. Geometric and Functional Analysis, vol. 10 (2000), no. 5, pp. 1053–1070.
Leuzinger, Enrico (May 2004). "On polyhedral retracts and compactifications of locally symmetric spaces". Differential Geometry and Its Applications. 20 (3): 293–318. doi:10.1016/j.difgeo.2004.03.001.
E. Leuzinger and R. Young, Filling functions of arithmetic groups. Annals of Mathematics, vol. 193 (2021), pp. 733–792.
Michael Handel and Lee Mosher, Lipschitz retraction and distortion for subgroups of Out(F_n). Geometry & Topology, vol. 17 (2013), no. 3, pp. 1535–1579. MR3073930doi:10.2140/gt.2013.17.1535
S. M. Gersten and T. Riley, Filling length in finitely presentable groups. Dedicated to John Stallings on the occasion of his 65th birthday. Geometriae Dedicata, vol. 92 (2002), pp. 41–58.
J. M. Alonso, X. Wang and S. J. Pride, Higher-dimensional isoperimetric (or Dehn) functions of groups. Journal of Group Theory, vol. 2 (1999), no. 1, pp. 81–112.
O. Bogopolskii and E. Ventura. The mean Dehn functions of abelian groups. Journal of Group Theory, vol. 11 (2008), no. 4, pp. 569–586.
E. G. Kukina and V. A. Roman'kov. Subquadratic Growth of the Averaged Dehn Function for Free Abelian Groups. Siberian Mathematical Journal, vol. 44 (2003), no. 4, 1573–9260.
R. I. Grigorchuk and S. V. Ivanov, On Dehn Functions of Infinite Presentations of Groups, Geometric and Functional Analysis, vol. 18 (2009), no. 6, pp. 1841–1874

intlpress.com

P. Papasoglu. On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality. Archived 2011-05-23 at the Wayback Machine Journal of Differential Geometry, vol. 44 (1996), no. 4, pp. 789–806.

jstor.org

Lee Mosher, Mapping class groups are automatic. Annals of Mathematics (2), vol. 142 (1995), no. 2, pp. 303–384.

msp.org

Michael Handel and Lee Mosher, Lipschitz retraction and distortion for subgroups of Out(F_n). Geometry & Topology, vol. 17 (2013), no. 3, pp. 1535–1579. MR3073930doi:10.2140/gt.2013.17.1535

ox.ac.uk

people.maths.ox.ac.uk

Martin R. Bridson and Daniel Groves. The quadratic isoperimetric inequality for mapping tori of free-group automorphisms. Memoirs of the American Mathematical Society, vol 203 (2010), no. 955.

princeton.edu

annals.math.princeton.edu

Robert Young, The Dehn function of SL(n;Z). Annals of Mathematics (2), vol. 177 (2013) no.3, pp. 969–1027.

projecteuclid.org

B. H. Bowditch. A short proof that a subquadratic isoperimetric inequality implies a linear one. Michigan Mathematical Journal, vol. 42 (1995), no. 1, pp. 103–107. MR1322192doi:10.1307/mmj/1029005156
Allen Hatcher and Karen Vogtmann, Isoperimetric inequalities for automorphism groups of free groups. Pacific Journal of Mathematics, vol. 173 (1996), no. 2, 425–441.

sciencedirect.com

Leuzinger, Enrico (May 2004). "On polyhedral retracts and compactifications of locally symmetric spaces". Differential Geometry and Its Applications. 20 (3): 293–318. doi:10.1016/j.difgeo.2004.03.001.

web.archive.org

P. Papasoglu. On the asymptotic cone of groups satisfying a quadratic isoperimetric inequality. Archived 2011-05-23 at the Wayback Machine Journal of Differential Geometry, vol. 44 (1996), no. 4, pp. 789–806.