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Farrell-Jones Conjecture for free-by-cyclic groups

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arxiv 1906.00069 v2 pith:2AMZ266T submitted 2019-05-31 math.GT

Mladen Bestvina , Koji Fujiwara , Derrick Wigglesworth This is my paper
classification math.GT
keywords conjecturefarrell-jonesfree-by-cyclicgroupsdevelopedestablishinggeometricmethods
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We prove the Farrell-Jones conjecture for free-by-cyclic groups. The proof uses recently developed geometric methods for establishing the Farrell-Jones Conjecture.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conjugacy in a family of free-by-cyclic groups

    math.GR 2025-06 conditional novelty 7.0 of 10

    In the free-by-cyclic groups H_m defined by the polynomial-growth automorphism a_i -> a_i a_{i-1}, the conjugator length function is linear and the conjugacy and conjugacy-search problems have polynomial-time solutions.

  2. Conjugator length in finitely presented groups

    math.GR 2026-07 accept novelty 6.0 of 10

    The conjugator length function is quadratic for the integral Heisenberg group and Stallings' group, and cyclic-subgroup distortion can be promoted to conjugator length.

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