# Banach strong Novikov conjecture for polynomially contractible groups

## TL;DR

This paper proves the Banach strong Novikov conjecture for a class of groups with polynomially bounded higher-order functions, notably including all automatic groups, advancing understanding in geometric group theory.

## Contribution

It establishes the conjecture for polynomially contractible groups, broadening the class of groups for which the conjecture holds.

## Key findings

- Proves the Banach strong Novikov conjecture for polynomially contractible groups.
- Includes all automatic groups as a special case.
- Advances the understanding of higher-order combinatorial properties in group theory.

## Abstract

We prove the Banach strong Novikov conjecture for groups having polynomially bounded higher-order combinatorial functions. This includes all automatic groups.