Growth of Finitely Generated Groups

Authors

  • 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

Issue

Section

Montana Academy of Sciences [Presentation Abstracts]