Full-featured peak reduction in right-angled Artin groups

@article{Day2014FullfeaturedPR,
  title={Full-featured peak reduction in right-angled Artin groups},
  author={Matthew B. Day},
  journal={Algebraic \& Geometric Topology},
  year={2014},
  volume={14},
  pages={1677-1743}
}
  • M. Day
  • Published 1 November 2012
  • Mathematics
  • Algebraic & Geometric Topology
We prove a new version of the classical peak reduction theorem for automorphisms of free groups in the setting of right-angled Artin groups. We use this peak reduction theorem to prove two important corollaries about the action of the automorphism group of a right-angled Artin group AA on the set of k ‐tuples of conjugacy classes from AA : orbit membership is decidable, and stabilizers are finitely presentable. Further, we explain procedures for checking orbit membership and building… 

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