The Automorphism Groups of Small Affine Rank 3 Graphs Научная публикация
| Журнал |
Communications in Mathematics and Statistics
ISSN: 2194-6701 , E-ISSN: 2194-671X |
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| Вых. Данные | Год: 2025, Страницы: 1-16 Страниц : 16 DOI: 10.1007/s40304-025-00456-3 | ||||
| Ключевые слова | Affine permutation group · Closure of permutation group · Orbital graph · Full automorphism group of graph · Rank 3 group · Rank 3 graph | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0002 |
Реферат:
A rank 3 graph is an orbital graph of a rank 3 permutation group of even order. Despite the completion of the classification of rank 3 graphs (see, e.g., Chapter 11 of the recent monograph Strongly regular graphs by Brouwer and Van Maldeghem), the full automorphism groups of these graphs (equivalently, the 2-closures of rank 3 groups) have not been explicitly described, though a lot of information on this subject is available. In the present note, we address this problem for the affine rank 3 graphs. We find the automorphism groups for finitely many relatively small graphs and show that modulo known results, this provides a complete description of the automorphism groups of the affine rank 3 graphs, thus reducing the general problem to the case when the socle of the automorphism group is nonabelian simple.
Библиографическая ссылка:
Guo J.
, Vasil'ev A.V.
, Wang R.
The Automorphism Groups of Small Affine Rank 3 Graphs
Communications in Mathematics and Statistics. 2025. P.1-16. DOI: 10.1007/s40304-025-00456-3 WOS Scopus РИНЦ OpenAlex
The Automorphism Groups of Small Affine Rank 3 Graphs
Communications in Mathematics and Statistics. 2025. P.1-16. DOI: 10.1007/s40304-025-00456-3 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 24 февр. 2025 г. |
| Принята к публикации: | 13 мая 2025 г. |
| Опубликована online: | 28 нояб. 2025 г. |
Идентификаторы БД:
| Web of science: | WOS:001626279600001 |
| Scopus: | 2-s2.0-105023531303 |
| РИНЦ: | 87410718 |
| OpenAlex: | W4416777761 |