An example of a fractal finitely generated solvable group

TL;DR

This paper constructs a finitely generated solvable group exhibiting an unbounded iterated identity, illustrating a novel property within group theory.

Contribution

It introduces a specific example of a solvable group with unbounded iterated identity, expanding understanding of group properties.

Findings

Existence of finitely generated solvable groups with unbounded iterated identities

Provides a concrete example in group theory

Enhances understanding of group identities and their bounds

Abstract

A finitely generated solvable group with unbounded iterated identity is constructed.