Asymptotic Property C for Certain Wreath-like Products of Groups

TL;DR

This paper extends the understanding of asymptotic property C by proving that specific wreath-like products of groups possess this property, offering new examples for mathematical exploration.

Contribution

It introduces new classes of wreath-like products that have asymptotic property C, broadening the scope of known examples in geometric group theory.

Findings

Certain wreath-like products admit asymptotic property C

Provides new examples of groups with asymptotic property C

Extends previous results on wreath products

Abstract

In this paper, we present generalizations of some results on the asymptotic property C for wreath products. Specifically, we prove that certain wreath-like products admit asymptotic property C, thus providing some new examples for further study.