The R_\∞-property of flat manifolds: Toward the eigenvalue one\n property of finite groups

2024/12/13 by Gerhard Hiß, Hiss, Gerhard, Rafał Lutowski +1
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2412.10206

Abstract

We introduce a conjecture of Dekimpe, De Rock and Penninckx and sketch some\nmajor steps in its proof. This text presents an extended account of the talk of\nthe first author given at the conference Ischia Group Theory 2024.\n

Related

• The eigenvalue one property of finite groups, I
• Property R_∞ for groups with infinitely many ends
• Extreme Reidemeister spectra of finite groups
• The R_∞ property for abelian groups
• Twisted conjugacy in fundamental groups of geometric 3-manifolds