Expanders and growth of normal subsets in finite simple groups of Lie type Научная публикация
| Журнал |
Bulletin of the London Mathematical Society
ISSN: 0024-6093 , E-ISSN: 1469-2120 |
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| Вых. Данные | Год: 2025, Том: 57, Номер: 11, Страницы: 3429–3440 Страниц : 12 DOI: 10.1112/blms.70161 | ||
| Ключевые слова | word maps; elements | ||
| 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:
We show that some classical results on expander graphsimply growth results on normal subsets in finite simplegroups. As one application, it is shown that given a non-trivial normal subset of a finite simple group of Lietype of bounded rank, we either have ⧵ {1} ⊆ 2 or| 2| ⩾ | |1+ , for > 0. This improves a result of Gill, Pyber, Short, and Szabó, and partially resolves a questionof Pyber from the Kourovka notebook. We also proposea variant of Gowers’ trick for two subsets, and give appli-cations to products of large subsets in groups of Lie type,improving some results of Larsen, Shalev, and Tiep.
Библиографическая ссылка:
Skresanov S.V.
Expanders and growth of normal subsets in finite simple groups of Lie type
Bulletin of the London Mathematical Society. 2025. V.57. N11. P.3429–3440. DOI: 10.1112/blms.70161 WOS Scopus РИНЦ OpenAlex
Expanders and growth of normal subsets in finite simple groups of Lie type
Bulletin of the London Mathematical Society. 2025. V.57. N11. P.3429–3440. DOI: 10.1112/blms.70161 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 11 июл. 2024 г. |
| Принята к публикации: | 11 июл. 2025 г. |
| Опубликована online: | 25 июл. 2025 г. |
| Опубликована в печати: | 30 нояб. 2025 г. |
Идентификаторы БД:
| ≡ Web of science: | WOS:001536654200001 |
| ≡ Scopus: | 2-s2.0-105011978187 |
| ≡ РИНЦ: | 84821649 |
| ≡ OpenAlex: | W4412910737 |