Formal conjugacy growth in graph products I

Laura Ciobanu, Susan Hermiller, Valentin Mercier

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we give a recursive formula for the conjugacy growth series of a graph product in terms of the conjugacy growth and standard growth series of subgraph products. We also show that the conjugacy and standard growth rates in a graph product are equal provided that this property holds for each vertex group. All results are obtained for the standard generating set consisting of the union of generating sets of the vertex groups.
Original languageEnglish
JournalGroups, Geometry, and Dynamics
Publication statusAccepted/In press - 20 Aug 2022

Keywords

  • math.GR
  • math.CO

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