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<p>In this paper we use free iterated actions and the iterated discrete degree of symmetry introduced in Daura Serrano (<CitationRef CitationID="CR11">2025</CitationRef>) 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, solvmanifold and locally symmetric spaces.</p>

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Iterated Finite Group Actions on Closed Connected Aspherical Manifolds

  • 期刊论文

  • 发表日期：

    2026年3月11日

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  • Jordi Daura Serrano

摘要

In this paper we use free iterated actions and the iterated discrete degree of symmetry introduced in Daura Serrano (2025) 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, solvmanifold and locally symmetric spaces.