p-Group actions on homology spheres

Autor: Gary C. Hamrick, Ronald M. Dotzel
Rok vydání: 1980
Předmět:
Zdroj: Inventiones Mathematicae. 62:437-442
ISSN: 1432-1297
0020-9910
DOI: 10.1007/bf01394253
Popis: When an arbitraryp-groupG acts on a ℤn-homologyn-sphereX, it is proved here that the dimension functionn:S(G)→ℤ(S(G) is the set of subgroups ofG), defined byn(H)=dimXH, (dim here is cohomological dimension) is realised by a real representation ofG, and that there is an equivariant map fromX to the sphere of this representation. A converse is also established.
Databáze: OpenAIRE
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