Growth of Finitely Generated Groups

  • Jeff Preston
  • Atish Mitra

Abstract

Given a finitely generated group, we study various growth functions and growth series. We calculate growth functions for certain groups of polynomial and exponential growth, and study R. Grigorchuk's example of a group with intermediate growth. We examine relations between algebraic properties of a finitely generated group and the equivalence class of its growth functions.
Published
2017-12-31
Section
Montana Academy of Sciences [Presentation Abstracts]