Corrigendum to "Model Theory of Fields with Virtually Free Group Actions"

TL;DR

This paper withdraws a previously claimed proof of a key theorem in the model theory of fields with virtually free group actions due to a fundamental error, acknowledging the theorem's falsehood.

Contribution

The authors retract their earlier claim and clarify the invalidity of Theorem 3.26 in their prior work on model theory of fields with group actions.

Findings

Theorem 3.26 is false in a strong sense.

The original proof contained an irreparable error.

The claim of proof is formally withdrawn.

Abstract

There is an irreparable error in the proof of Theorem 3.26 in our "Model Theory of Fields with Virtually Free Group Actions" paper and we withdraw the claim of having proved that theorem. In fact, that theorem is false in a very strong sense.