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Quasilinear actions on products of spheres
Author(s) -
Ünlü Özgün,
Yalçın Ergün
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdq072
Subject(s) - spheres , mathematics , homology (biology) , action (physics) , pure mathematics , product (mathematics) , representation (politics) , geometry , physics , chemistry , quantum mechanics , amino acid , biochemistry , law , astronomy , politics , political science
For some small values of f , we prove that if G is a group having a complex (real) representation with fixity f , then it acts freely and smoothly on a product of f +1 spheres with trivial action on homology.
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