• 제목/요약/키워드: homotopically trivial translation

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FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS WITH HOMOTOPICALLY TRIVIAL TRANSLATIONS

  • Koo, Daehwan;Park, Eunmi;Shin, Joonkook
    • 충청수학회지
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    • 제33권1호
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    • pp.113-132
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    • 2020

  • We show that if a finite group G acts freely with homotopically trivial translations on a 3-dimensional nilmanifold 𝓝p with the first homology ℤ2 ⊕ ℤp, then either G is cyclic or there exist finite nonabelian groups acting freely on 𝓝p which yield orbit manifolds homeomorphic to 𝓝/𝜋3 or 𝓝/𝜋4.

  • https://doi.org/10.14403/jcms.2020.33.1.113 인용 PDF KSCI