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

Masaharu Morimoto, Shunsuke Tamura

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)1-8
    Number of pages8
    JournalOsaka Journal of Mathematics
    Volume57
    Issue number1
    Publication statusPublished - Jan 2020

    ASJC Scopus subject areas

    • General Mathematics

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