MISC

2016年10月

ONE-FIXED-POINT ACTIONS ON SPHERES AND SMITH SETS

OSAKA JOURNAL OF MATHEMATICS
  • Masaharu Morimoto

53
4
開始ページ
1003
終了ページ
1013
記述言語
英語
掲載種別
出版者・発行元
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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https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000387636400008&DestApp=WOS_CPL

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