# Fractional isoperimetric inequalities and subgroup distortion

@article{Bridson1996FractionalII, title={Fractional isoperimetric inequalities and subgroup distortion}, author={Martin R. Bridson}, journal={Journal of the American Mathematical Society}, year={1996}, volume={12}, pages={1103-1118} }

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…

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