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arXiv · 2506.13184

Iterated finite group actions on closed connected aspherical manifolds

Jordi Daura Serrano
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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.

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Jordi Daura Serrano. 2025-06-16. Iterated finite group actions on closed connected aspherical manifolds. https://doi.org/10.1007/s00031-026-09960-4

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