The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions

TR Riley

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

We examine the geometry of the word problem of two different types of groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restrictive, non-vacuous constraints. In both cases we obtain an n! isoperimetric function and n(2) upper bounds on the minimal isodiametric function and the filling length function.
Translated title of the contributionThe geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
Original languageEnglish
Pages (from-to)513 - 523
Number of pages13
JournalJournal of Group Theory
Volume5 (4)
Publication statusPublished - 2002

Bibliographical note

Publisher: Walter de Gruyter & Co

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