Free actions on products of spheres: The rational case

DOI10.1007/BF02571395zbMath0712.57015MaRDI QIDQ1812967

James F. Davis, R. James Milgram

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174276

zbMATH Keywords

finite groupproduct of spheresaction on the rational cohomology ringequivariant rational intersectionLefschetz Fixed Point Theoremrational equivariant semicharacteristicrational finiteness obstructionrational homotopy type of a manifoldrational surgery obstructionspace with finite fundamental group

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Surgery obstructions, Wall groups (57R67) Algebraic topology on manifolds and differential topology (57R19)

Related Items (1)

Obstructions to free actions on Bazaikin spaces

Cites Work

• Unnamed Item
• A note on spaces with operators
• On the rank of Abelian groups acting freely on \((S^n)^k\)
• The free rank of symmetry of (S n) k
• Mod 2 semi-characteristics and the converse to a theorem of Milnor
• Genetics of homotopy theory and the Adams conjecture
• On the algebraic \(L\)-theory of semisimple rings
• The bar construction and Abelian H-spaces
• Homotopy limits, completions and localizations
• Free Actions of Abelian Groups on a Cartesian Power of an Even Sphere
• Homologically Trivial Group Actions II: Nonsimply Connected Manifolds
• Semicharacteristics, Bordism, and Free Group Actions
• Characteristic Classes. (AM-76)

This page was built for publication: Free actions on products of spheres: The rational case