On a theorem of Artin and the dimension of the space spanned by the rational valued characters of a group
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917224570159104 |
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| author | Lewis, Mark L. |
| author_facet | Lewis, Mark L. |
| contents | In this paper, we sharpen a theorem of Artin to show that for a finite group, the dimension of the subspace of class functions spanned by the rational valued characters equals the number of conjugacy classes of cyclic subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12185 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a theorem of Artin and the dimension of the space spanned by the rational valued characters of a group Lewis, Mark L. Group Theory Primary 20C15, Secondary 20D25 In this paper, we sharpen a theorem of Artin to show that for a finite group, the dimension of the subspace of class functions spanned by the rational valued characters equals the number of conjugacy classes of cyclic subgroups. |
| title | On a theorem of Artin and the dimension of the space spanned by the rational valued characters of a group |
| topic | Group Theory Primary 20C15, Secondary 20D25 |
| url | https://arxiv.org/abs/2601.12185 |