2020 年 72 巻 4 号 p. 1025-1048
For a prime number 𝑞 ≠ 2 and 𝑟 > 0, we study whether there exists an isometry of order 𝑞𝑟 acting on a free ℤ𝑝𝑘-module equipped with a scalar product. We investigate whether there exists such an isometry with no non-zero fixed points. Both questions are completely answered in this paper if 𝑝 ≠ 2,𝑞. As an application, we refine Naik's criterion for periodicity of links in 𝑆3. The periodicity criterion we obtain is effectively computable and gives concrete restrictions for periodicity of low-crossing knots.
この記事は最新の被引用情報を取得できません。