Journal of the American Mathematical Society

Author(s): Martin R. Bridson
Journal: J. Amer. Math. Soc. 12 (1999), 1103-1118.
MSC (1991): Primary 20F32, 20F10, 20F05
Posted: June 9, 1999
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Abstract: It is shown that there exist infinitely many non-integers

such that the Dehn function of some finitely presented group is $\simeq n^r$ . Explicit examples of such groups are constructed. For each rational number $s\ge 1$ pairs of finitely presented groups $H\subset G$ are constructed so that the distortion of

is $\simeq n^s$ .

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Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 20F32, 20F10, 20F05

Martin R. Bridson
Affiliation: Mathematical Institute, 24--29 St. Giles', Oxford OX1 3LB, Great Britain
Email: bridson@maths.ox.ac.uk

DOI: 10.1090/S0894-0347-99-00308-2
PII: S 0894-0347(99)00308-2
Keywords: Dehn function, isoperimetric inequality, subgroup distortion
Received by editor(s): December 23, 1996
Received by editor(s) in revised form: March 29, 1999
Posted: June 9, 1999
Additional Notes: This work was supported in part by NSF grant DMS-9401362 and an EPSRC Advanced Fellowship.
Dedicated: For John Stallings on his 60th birthday
Copyright of article: Copyright 1999, American Mathematical Society

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ISSN: 1088-6834(e) ISSN: 0894-0347(p)

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