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Complicated generalized torsion elements in Seifert fibered spaces with boundary
https://hiroshima.repo.nii.ac.jp/records/2007364
https://hiroshima.repo.nii.ac.jp/records/200736428f241b3-e5f7-4888-ac27-c21baa5611ea
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
JKTIR_32_2350080.pdf (137.6 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||
|---|---|---|---|---|---|---|---|---|
| 公開日 | 2025-01-21 | |||||||
| タイトル | ||||||||
| タイトル | Complicated generalized torsion elements in Seifert fibered spaces with boundary | |||||||
| 言語 | en | |||||||
| 作成者 |
Himeno, Keisuke
× Himeno, Keisuke
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| アクセス権 | ||||||||
| アクセス権 | open access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| 権利情報 | ||||||||
| 言語 | en | |||||||
| 権利情報 | Electronic version of an article published as Journal of Knot Theory and Its Ramifications, 32, 12, 2050080(2023), https://doi.org/10.1142/S0218216523500803 © copyright World Scientific Publishing Company | |||||||
| 権利情報 | ||||||||
| 言語 | en | |||||||
| 権利情報 | This is not the published version. Please cite only the published version. | |||||||
| 権利情報 | ||||||||
| 言語 | ja | |||||||
| 権利情報 | この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。 | |||||||
| 主題 | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | Generalized torsion element | |||||||
| 主題 | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | stable commutator length | |||||||
| 内容記述 | ||||||||
| 内容記述 | In a group, a nontrivial element is called a generalized torsion element if some non-empty finite product of its conjugates is equal to the identity. There are various examples of torsion-free groups which contain generalized torsion elements. We can define the order of a generalized torsion element as the minimum number of its conjugates required to generate the identity. In previous works, three-manifold groups which contain a generalized torsion element of order two are determined. However, there are few previous studies that examine the order of a generalized torsion element bigger than two. In this paper, we focus on Seifert fibered spaces with boundary, including the torus knot exteriors, and construct concretely generalized torsion elements of order 3, 4, 6 and others in their fundamental groups. | |||||||
| 言語 | en | |||||||
| 出版者 | ||||||||
| 出版者 | World Scientific Publishing | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| 資源タイプ | ||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
| 資源タイプ | journal article | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | AM | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
| 関連情報 | ||||||||
| 関連タイプ | isVersionOf | |||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | https://doi.org/10.1142/S0218216523500803 | |||||||
| 開始ページ | ||||||||
| 開始ページ | 2350080 | |||||||
| 書誌情報 |
en : Journal of Knot Theory and Its Ramifications 巻 32, 号 12, p. 2350080, 発行日 2023-12-22 |
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| 旧ID | 56145 | |||||||
