Generalized torsion elements in groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866918130960302080 |
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| author | Bastos, Raimundo Schneider, Csaba Silveira, Danilo |
| author_facet | Bastos, Raimundo Schneider, Csaba Silveira, Danilo |
| contents | A group element is called a generalized torsion if a finite product of its conjugates is equal to the identity. We prove that in a nilpotent or FC-group, the generalized torsion elements are all torsion elements. Moreover, we compute the generalized order of an element in a finite group $G$ using its character table. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09589 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized torsion elements in groups Bastos, Raimundo Schneider, Csaba Silveira, Danilo Group Theory 20E45, 20F12, 20F14, 20C15 A group element is called a generalized torsion if a finite product of its conjugates is equal to the identity. We prove that in a nilpotent or FC-group, the generalized torsion elements are all torsion elements. Moreover, we compute the generalized order of an element in a finite group $G$ using its character table. |
| title | Generalized torsion elements in groups |
| topic | Group Theory 20E45, 20F12, 20F14, 20C15 |
| url | https://arxiv.org/abs/2302.09589 |