The laitinen conjecture for finite solvable oliver groups

Krzysztof Pawalowski, Toshio Sumi

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

For smooth actions of G on spheres with exactly two fixed points, the Laitinen Conjecture proposed an answer to the Smith question about the G-modules determined on the tangent spaces at the two fixed points. Morimoto obtained the first counterexample to the Laitinen Conjecture for G = Aut(A6). By answering the Smith question for some finite solvable Oliver groups G,we obtain new counterexamples to the Laitinen Conjecture, presented for the first time in the case where G is solvable.

Original languageEnglish
Pages (from-to)2147-2156
Number of pages10
JournalProceedings of the American Mathematical Society
Volume137
Issue number6
DOIs
Publication statusPublished - Jun 1 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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