Gruenberg-Kegel graphs with four edges of finite solvable cut groups
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908933396889600 |
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| author | Debón, Sara C. García-Lucas, Diego del Río, Ángel |
| author_facet | Debón, Sara C. García-Lucas, Diego del Río, Ángel |
| contents | We prove that there is a unique graph with four edges which is the Gruenberg-Kegel graph of a solvable cut group. This contributes to the classification of the Gruenberg-Kegel graphs of solvable cut groups initiated in [A. Bächle, A. Kiefer, S. Maheshwary, and A. del Río. "Gruenberg-Kegel graphs: Cut groups, rational groups and the prime graph question" Forum Mathematicum, vol. 35, no. 2, 2023, pp. 409-429. https://doi.org/10.1515/forum-2022-0086]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01817 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gruenberg-Kegel graphs with four edges of finite solvable cut groups Debón, Sara C. García-Lucas, Diego del Río, Ángel Group Theory 20D10 We prove that there is a unique graph with four edges which is the Gruenberg-Kegel graph of a solvable cut group. This contributes to the classification of the Gruenberg-Kegel graphs of solvable cut groups initiated in [A. Bächle, A. Kiefer, S. Maheshwary, and A. del Río. "Gruenberg-Kegel graphs: Cut groups, rational groups and the prime graph question" Forum Mathematicum, vol. 35, no. 2, 2023, pp. 409-429. https://doi.org/10.1515/forum-2022-0086]. |
| title | Gruenberg-Kegel graphs with four edges of finite solvable cut groups |
| topic | Group Theory 20D10 |
| url | https://arxiv.org/abs/2604.01817 |