The classification of nonlinear similarities over 𝑍_{2^{𝑟}}

DOI10.1090/S0273-0979-1990-15837-9zbMath0697.57018OpenAlexW2101802388MaRDI QIDQ3473835

Julius L. Shaneson, Shmuel Weinberger, Mark Steinberger, James E. West, Sylvain E. Cappell

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15837-9

zbMATH Keywords

surgeryisotropy groupscyclic 2-groupsmod 2 homology spheretangent representationstopological similarity of real representations of a finite group

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Representation theory of groups (20C99)

Related Items (3)

Cohomological dimension and metrizable spaces. II ⋮ Topological equivalence of linear representations for cyclic groups: II ⋮ Higher \(G\)-signatures for Lipschitz manifolds

Cites Work

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• Class numbers and periodic smooth maps
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• On the classification of G-spheres. I. Equivariant transversality
• Non-linear similarity
• Classification of Hermitian forms. VI: Group rings
• On the topological classification of linear representations
• When are topologically equivalent orthogonal transformations linearly equivalent?
• Fixed points of periodic differentiable maps
• The topological rationality of linear representations
• Higher $G$-indices and applications
• Group actions and equivariant Lipschitz analysis
• Approximation by Equivariant Homeomorphisms. I
• Nonlinear Similarity Begins in Dimension Six
• Whitehead torsion

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