Irreducible euclidean representations of Fibonacci groups

TL;DR

This paper demonstrates that all Hantzsche-Wendt groups can be obtained as epimorphic images of specific Fibonacci groups, revealing a new algebraic relationship between these classes of groups.

Contribution

It establishes a novel connection showing that Hantzsche-Wendt groups are epimorphic images of certain Fibonacci groups, expanding understanding of their algebraic structure.

Findings

Hantzsche-Wendt groups are epimorphic images of Fibonacci groups

Provides a new perspective on the algebraic relationships between these groups

Enhances classification and understanding of Euclidean group representations

Abstract

We show that every Hantzsche-Wendt group is an epimorphic image of a certain Fibonacci group.