The quadratic isoperimetric inequality for mapping tori of free group automorphisms I: Positive automorphisms

2002/11/29 by Martin R. Bridson, Daniel Groves, Bridson, Martin R. +2
Mathematics · #20F06 #20F28 #20F65 #57M07 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #math.GR #msc:20F06 #msc:20F28 #msc:20F65 #msc:57M07

paper · pdf · doi:10.48550/arxiv.math/0211459

69 pages, 32 figures. Improved proof of the Pincer Lemma

openalex publication_date 2002/11/29 · arxiv created 2005/07/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If F is a finitely generated free group and ϕ is a positive automorphism of F then F\rtimes_ϕZ satisfies a quadratic isoperimetric inequality.

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