# Semidirect Products and Wreath Products of Localities

## TL;DR

This paper introduces a generalized framework for semidirect and wreath products within the context of localities and partial groups, extending classical group product concepts to more abstract algebraic structures.

## Contribution

It develops a new theory of semidirect products for partial groups and localities, broadening the scope of algebraic product constructions beyond traditional groups.

## Key findings

- Generalized semidirect product construction for localities
- Extension of direct product concepts to partial groups and localities
- Framework unifies and extends classical group product theories

## Abstract

We develop a theory of semidirect products of partial groups and localities. Our concepts generalize the notions of direct products of partial groups and localities, and of semidirect products of groups.