# Residually finite non-exact groups

**Authors:** Damian Osajda

arXiv: 1703.03791 · 2019-01-18

## TL;DR

This paper introduces the first known examples of residually finite groups that are non-exact, using a novel construction based on graphical small cancellation techniques.

## Contribution

It provides the first explicit construction of residually finite non-exact groups, advancing understanding of group properties and their interrelations.

## Key findings

- First examples of residually finite non-exact groups
- Utilizes graphical small cancellation for construction
- Expands knowledge of group property combinations

## Abstract

We construct the first examples of residually finite non-exact groups. The construction is based on author's earlier construction of groups containing isometrically expanders using a graphical small cancellation.

## Full text

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## Figures

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Source: https://tomesphere.com/paper/1703.03791