Misc.

Oct, 2016

ONE-FIXED-POINT ACTIONS ON SPHERES AND SMITH SETS

OSAKA JOURNAL OF MATHEMATICS
  • Masaharu Morimoto

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.

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Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000387636400008&DestApp=WOS_CPL
ID information
  • ISSN : 0030-6126
  • Web of Science ID : WOS:000387636400008

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