Fractional isoperimetric inequalities and subgroup distortion

@article{Bridson1996FractionalII,
  title={Fractional isoperimetric inequalities and subgroup distortion},
  author={M. Bridson},
  journal={Journal of the American Mathematical Society},
  year={1996},
  volume={12},
  pages={1103-1118}
}
  • M. Bridson
  • Published 1996
  • Mathematics
  • Journal of the American Mathematical Society
Isoperimetric inequalities measure the complexity of the word problem in finitely presented groups by giving a bound on the number of relators that one must apply in order to show that a word w in the given generators represents the identity. Such bounds are given in terms of the length of w, and the function describing the optimal bound is known as the Dehn function of the group. (Modulo a standard equivalence relation _, the Dehn function is an invariant of the group, not just the given… Expand

Figures from this paper

Metric Properties and Distortion in Nilpotent Groups
Solvable groups with polynomial Dehn functions
Cheeger constants of surfaces and isoperimetric inequalities
The isoperimetric spectrum of finitely presented groups
...
1
2
3
4
...

References

SHOWING 1-10 OF 40 REFERENCES
Isoperimetric inequalities and the homology of groups
Isoperimetric inequalities for the fundamental groups of torus bundles over the circle
Combinatorial Group Theory
On the geometry of normal forms in discrete groups
Combings of semidirect products and 3-manifold groups
Casson's Idea about 3-Manifolds whose Universal Cover is R3
Hyperbolicity of Groups with Subquadratic isoperimetric inequality
  • A. Ol'shanskii
  • Mathematics, Computer Science
  • Int. J. Algebra Comput.
  • 1991
...
1
2
3
4
...