On a group whose generalized torsion elements are torsion elements
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915787128700928 |
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| author | Ito, Tetsuya |
| author_facet | Ito, Tetsuya |
| contents | We show that a group whose generalized torsion elements are torsion elements (which we call a $TR^{*}$-group) is torsion-by-$R^{*}$ group, an extension of torsion group by a group without generalized torsion elements. We also discuss a generalized torsion group, a group all of whose non-trivial elements are generalized torsion elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05726 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a group whose generalized torsion elements are torsion elements Ito, Tetsuya Group Theory We show that a group whose generalized torsion elements are torsion elements (which we call a $TR^{*}$-group) is torsion-by-$R^{*}$ group, an extension of torsion group by a group without generalized torsion elements. We also discuss a generalized torsion group, a group all of whose non-trivial elements are generalized torsion elements. |
| title | On a group whose generalized torsion elements are torsion elements |
| topic | Group Theory |
| url | https://arxiv.org/abs/2303.05726 |