Any finite group acts freely and homologically trivially on a product of spheres

DOI10.1090/proc/12435zbMath1333.57044arXiv1209.0370OpenAlexW3103275976MaRDI QIDQ3450196

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Publication date: 3 November 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0370

zbMATH Keywords

actions of finite groupsproducts of spheres

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) (h)- and (s)-cobordism (57R80) Regular neighborhoods in PL-topology (57Q40)

Cites Work

• Constructing free actions of \(p\)-groups on products of spheres
• The topological spherical space form problem. II: Existence of free actions
• Fixity and free group actions on products of spheres
• Some examples of free actions on products of spheres
• Obstructions to propagation of group actions
• Quasilinear actions on products of spheres
• Smoothings of Piecewise Linear Manifolds. (AM-80)
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Fusion systems and group actions with abelian isotropy subgroups
• Constructing homologically trivial actions on products of spheres
• Periodic complexes and group actions
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