# The Farrell-Jones Conjecture for normally poly-free groups

## TL;DR

This paper proves the Farrell-Jones Conjecture for a broad class of groups, including normally poly-free groups and certain Artin groups, expanding the conjecture's verified scope in algebraic K- and L-theory.

## Contribution

It establishes the Farrell-Jones Conjecture for normally poly-free groups, including even Artin groups of FC-type and certain semi-direct products involving right-angled Artin groups.

## Key findings

- Proves the Farrell-Jones Conjecture for normally poly-free groups.
- Extends the conjecture's validity to specific Artin groups and semi-direct products.
- Builds on work by Bestvina-Fujiwara-Wigglesworth for free-by-cyclic groups.

## Abstract

We prove the $K$- and $L$-theoretic Farrell-Jones Conjecture with coefficients in an additive category for every normally poly-free group, in particular for even Artin groups of FC-type, and for all groups of the form $A\rtimes \mathbb{Z}$ where $A$ is a right-angled Artin group. Our proof relies on the work of Bestvina-Fujiwara-Wigglesworth on the Farrell--Jones Conjecture for free-by-cyclic groups.