Spheres not admitting smooth odd-fixed-point actions of s5 and sl(2, 5)

Masaharu Morimoto; Shunsuke Tamura

Spheres not admitting smooth odd-fixed-point actions of s₅ and sl(2, 5)

Masaharu Morimoto, Shunsuke Tamura

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

Abstract

Let G be a finite group and Σ a homology sphere with smooth G-action. If the G-fixed-point set of Σ consists of odd-number points then the dimension of Σ could be restrictive. In this article we confirm the claim in the cases where G = S₅ or SL(2, 5).

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Osaka Journal of Mathematics
Volume	57
Issue number	1
Publication status	Published - Jan 2020

ASJC Scopus subject areas

Mathematics(all)

Cite this

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Spheres not admitting smooth odd-fixed-point actions of s₅ and sl(2, 5)

Abstract

ASJC Scopus subject areas

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