The Isomorphism Conjecture for solvable groups in Waldhausen's A-theory

TL;DR

This paper proves the A-theoretic Isomorphism Conjecture for solvable groups, including coefficients and finite wreath products, advancing the understanding of algebraic K-theory in geometric group theory.

Contribution

It establishes the conjecture for a broad class of groups, specifically solvable groups, with new techniques applicable to coefficients and wreath products.

Findings

Proves the A-theoretic Isomorphism Conjecture for solvable groups.

Includes coefficients and finite wreath products in the proof.

Advances the understanding of algebraic K-theory for solvable groups.

Abstract

We prove the A-theoretic Isomorphism Conjecture with coefficients and finite wreath products for solvable groups.