Homotopy types of locally linear representation forms
\textit{I. Madsen} and \textit{M. Raussen} [Osaka J. Math 27, 567-591 (1990; Zbl 0715.57019)] investigated certain locally linear actions of a cyclic group of odd order on homotopy spheres, the so-called \(G\)-representation form. In particular, several conditions on a dimension function were described that made sure that it can be realized as the dimension function of a \(G\)-representation form. It remained unclear, whether all homotopy types with those dimension functions would support a locally linear structure. It is the aim of this note to show that this is not always the case.
scientific article; zbMATH DE number 866148