The stable free rank of symmetry of products of spheres
成果类型：
Article
署名作者：
Hanke, Bernhard
署名单位：
University of Munich
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-009-0197-3
发表日期：
2009
页码：
265-298
关键词：
摘要：
A well known conjecture in the theory of transformation groups states that if p is a prime and (acurrency sign/p) (r) acts freely on a product of k spheres, then ra parts per thousand currency signk. We prove this assertion if p is large compared to the dimension of the product of spheres. The argument builds on tame homotopy theory for non-simply connected spaces.