The laitinen conjecture for finite solvable oliver groups

Krzysztof Pawalowski; Toshio Sumi

doi:10.1090/S0002-9939-09-09719-6

The laitinen conjecture for finite solvable oliver groups

Krzysztof Pawalowski, Toshio Sumi

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	2147-2156
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-09-09719-6
Publication status	Published - Jun 2009

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-09-09719-6

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The laitinen conjecture for finite solvable oliver groups

Abstract

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