paper

Iterated finite group actions on closed connected aspherical manifolds

arXiv:2506.13184 · doi:10.1007/s00031-026-09960-4

Abstract

In this paper we use free iterated actions and the iterated discrete degree of symmetry to obtain rigidity results on aspherical manifolds. We also introduce the concept of the length of an iterated action and we study it for nilmanifolds, solvmanifolds and locally symmetric spaces.

26 pages, comments welcome!