# Free Products of digroups

## TL;DR

This paper constructs free products of digroups, providing a solution to an open problem and advancing the understanding of algebraic structures called digroups.

## Contribution

It introduces a method to construct free products of arbitrary digroups, addressing a previously open problem in the field.

## Key findings

- Successfully constructs free products of digroups
- Solves an open problem posed by Zhuchok
- Provides a new framework for digroup algebraic structures

## Abstract

We construct the free products of arbitrary digroups, and thus we solve an open problem of Zhuchok.