Triangles in the graph of conjugacy classes of normal subgroups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909099501813760 |
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| author | Beltrán, Antonio Felipe, María José Melchor, Carmen |
| author_facet | Beltrán, Antonio Felipe, María José Melchor, Carmen |
| contents | Let $G$ be a finite group and $N$ a normal subgroup of $G$. We determine the structure of $N$ when the graph $Γ_G(N)$, which is the graph associated to the conjugacy classes of $G$ contained in $N$, has no triangles and when the graph consists in exactly one triangle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06240 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Triangles in the graph of conjugacy classes of normal subgroups Beltrán, Antonio Felipe, María José Melchor, Carmen Group Theory Let $G$ be a finite group and $N$ a normal subgroup of $G$. We determine the structure of $N$ when the graph $Γ_G(N)$, which is the graph associated to the conjugacy classes of $G$ contained in $N$, has no triangles and when the graph consists in exactly one triangle. |
| title | Triangles in the graph of conjugacy classes of normal subgroups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2402.06240 |