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Isoperimetric inequalities for nilpotent groups

Authors:	Steve?M.?Gersten author-information" > author-information__contact u-icon-before" > mailto:gersten@math.utah.edu" title=" gersten@math.utah.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Derek?F.?Holt,Tim?R.?Riley

Affiliation:	(1) Department of Mathematics, University of Utah, 1155S. 1400E., Rm. 233,, Salt Lake City, UT 84112, USA;(2) Department of Mathematics, University of Warwick, Coventry, CV4 7AL, UK;(3) Department of Mathematics, Yale University, 10 Hillhouse Ave., P.O.Box 208283, New Haven, CT 06520-8283, USA

Abstract:	We prove that every finitely generated nilpotent group of class c admitsa polynomial isoperimetric function of degree c + 1 and a linearupper bound on its filling length function.

Keywords:	((no ))
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