# Random presentations and random subgroups: a survey

## TL;DR

This survey reviews the current state of research on random group presentations and subgroups, providing a comprehensive overview of key results and trends in this active area of mathematical group theory.

## Contribution

It offers a synthesized overview of existing results on random groups and subgroups, highlighting the main developments without presenting new findings.

## Key findings

- Summarizes key results in random group theory
- Highlights trends and open problems in the field
- Provides a unified perspective on various approaches

## Abstract

This is a survey of results on random group presentations, and on random subgroups of certain fixed groups. Being a survey, this paper does not contain new results, but it offers a synthetic view of a part of this very active field of research.