Oct, 2016
ONE-FIXED-POINT ACTIONS ON SPHERES AND SMITH SETS
OSAKA JOURNAL OF MATHEMATICS
- Volume
- 53
- Number
- 4
- First page
- 1003
- Last page
- 1013
- Language
- English
- Publishing type
- Publisher
- OSAKA JOURNAL OF MATHEMATICS
Let G be a finite group. The Smith equivalence for real G-modules of finite dimension gives a subset of real representation ring, called the primary Smith set. Since the primary Smith set is not additively closed in general, it is an interesting problem to find a subset which is additively closed in the real representation ring and occupies a large portion of the primary Smith set. In this paper we introduce an additively closed subset of the primary Smith set by means of smooth one-fixed-point G-actions on spheres, and we give evidences that the subset occupies a large portion of the primary Smith set if G is an Oliver group.
- Link information
- ID information
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- ISSN : 0030-6126
- Web of Science ID : WOS:000387636400008