On the Mislin genus of certain circle bundles and noncancellation

Abstract

In an earlier paper, the authors proved that a process described much earlier for passing from a finitely generated nilpotent group N of a certain kind to a nilpotent space X of finite type produced a bijection of Mislin genera 𝒢(N)≅𝒢(X). The present paper is concerned with related results obtained by weakening the restrictions on N and generalizing the homotopical nature of the spaces X to be associated with a given N.

Keywords

• Mislin genus
• circle bundles
• noncancellation
• nilpotent groups
• nilpotent spaces.