Growth of groups and wreath products
Laurent Bartholdi
TL;DR
This paper provides an introductory overview of group growth, wreath products, and recent methods for constructing groups with specified growth functions, aimed at readers interested in geometric group theory.
Contribution
It offers a gentle introduction to wreath products and recent techniques for constructing groups with prescribed growth rates, expanding on previous mini-course material.
Findings
Presentation of wreath products and their role in group growth
Recent methods for constructing groups with specific growth functions
Expanded educational material from a mini-course
Abstract
These are introductory notes on word growth of groups, and include a gentle presentation of wreath products as well as recent results on construction of groups of with given growth function. They are are an expanded version of a mini-course given at "Le Louverain", June 24-27, 2014.
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Taxonomy
TopicsFinite Group Theory Research · Fuzzy and Soft Set Theory · semigroups and automata theory