On the structure of the character degree graphs having diameter three
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910348549816320 |
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| author | Dolfi, Silvio Hafezieh, Roghayeh Spiga, Pablo |
| author_facet | Dolfi, Silvio Hafezieh, Roghayeh Spiga, Pablo |
| contents | The structure of the character degree graphs $Δ(G)$, i.e. the prime graphs on the set $\mathrm{cd}(G)$ of the irreducible character degrees of a finite group $G$, such that $G$ is solvable and $Δ(G)$ has diameter three, remains an intriguing area of study. However, a comprehensive understanding of these structures remains elusive. In this paper, we prove some properties and provide an infinite series of examples of this class of graphs, building on the ideas of Mark Lewis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19335 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the structure of the character degree graphs having diameter three Dolfi, Silvio Hafezieh, Roghayeh Spiga, Pablo Group Theory The structure of the character degree graphs $Δ(G)$, i.e. the prime graphs on the set $\mathrm{cd}(G)$ of the irreducible character degrees of a finite group $G$, such that $G$ is solvable and $Δ(G)$ has diameter three, remains an intriguing area of study. However, a comprehensive understanding of these structures remains elusive. In this paper, we prove some properties and provide an infinite series of examples of this class of graphs, building on the ideas of Mark Lewis. |
| title | On the structure of the character degree graphs having diameter three |
| topic | Group Theory |
| url | https://arxiv.org/abs/2402.19335 |