CM-trivial structures without the canonical base property

TL;DR

This paper constructs a new CM-trivial structure interpretable in Baudisch's group, demonstrating a case without the canonical base property, thus contributing to the understanding of the ample hierarchy in model theory.

Contribution

It introduces a novel CM-trivial structure without the canonical base property, expanding the examples and understanding within the ample hierarchy.

Findings

The structure is CM-trivial.

It lacks the canonical base property.

Interpretable in Baudisch's group.

Abstract

Based on Hrushovski, Palac{\'i}n and Pillay's example [6], we produce a new structure without the canonical base property, which is interpretable in Baudisch's group. Said structure is, in particular, CM-trivial, and thus at the lowest possible level of the ample hierarchy.