Extension of a residually finite group by a residually finite group is weakly sofic

TL;DR

This paper proves that extensions of residually finite groups by residually finite groups are weakly sofic, expanding understanding of group properties in algebra.

Contribution

It establishes that such group extensions are weakly sofic, a previously unconfirmed property in group theory.

Findings

Residually finite by residually finite groups are weakly sofic.

Provides a new class of weakly sofic groups.

Advances the theory of group extensions and their properties.

Abstract

We show that residually finite by residually finite extensions are weakly sofic.