Corpus ID: 220055879

A new proof of the growth rate of the solvable Baumslag-Solitar groups

@inproceedings{Taback2020ANP,
  title={A new proof of the growth rate of the solvable Baumslag-Solitar groups},
  author={J. Taback and A. Walker},
  year={2020}
}
  • J. Taback, A. Walker
  • Published 2020
  • Mathematics
  • We exhibit a regular language of geodesics for a large set of elements of BS(1, n) and show that the growth rate of this language is the growth rate of the group. This provides a straightforward calculation of the growth rate of BS(1, n), which was initially computed by Collins, Edjvet and Gill in [5]. Our methods are based on those we develop in [8] to show that BS(1, n) has a positive density of elements of positive, negative and zero conjugation curvature, as introduced by Bar-Natan, Duchin… CONTINUE READING

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    Conjugation Curvature in Solvable Baumslag-Solitar Groups

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