On pseudofrobenius imprimitive association schemes Научная публикация
| Журнал |
Journal of Algebraic Combinatorics
ISSN: 0925-9899 , E-ISSN: 1572-9192 |
||||||||
|---|---|---|---|---|---|---|---|---|---|
| Вых. Данные | Год: 2023, Том: 57, Номер: 2, Страницы: 385-402 Страниц : 18 DOI: 10.1007/s10801-022-01193-4 | ||||||||
| Ключевые слова | frobenius groups, permutation groups, association schemes, 05e30, 20b05, 05c60, 20c15, combinatorics, convex and discrete geometry, order, lattices, ordered algebraic structures, computer science, general, group theory and generalizations | ||||||||
| Авторы |
|
||||||||
| Организации |
|
Информация о финансировании (1)
| 1 | Министерство науки и высшего образования РФ | 075-15-2019-1620 |
Реферат:
An (association) scheme is said to be Frobenius if it is the (orbital) scheme of a Frobenius group. A scheme which has the same tensor of intersection numbers as some Frobenius scheme is said to be pseudofrobenius. We establish a necessary and sufficient condition for an imprimitive pseudofrobenius scheme to be Frobenius. We also prove strong necessary conditions for existence of an imprimitive pseudofrobenius scheme which is not Frobenius. As a byproduct, we obtain a sufficient condition for an imprimitive Frobenius group G with abelian kernel to be determined up to isomorphism only by the character table of G. Finally, we prove that the Weisfeiler-Leman dimension of a circulant graph with n vertices and Frobenius automorphism group is equal to 2 unless n∈{p,p2,p3,pq,p2q} , where p and q are distinct primes.
Библиографическая ссылка:
Ponomarenko I.
, Ryabov G.
On pseudofrobenius imprimitive association schemes
Journal of Algebraic Combinatorics. 2023. V.57. N2. P.385-402. DOI: 10.1007/s10801-022-01193-4 WOS Scopus РИНЦ OpenAlex
On pseudofrobenius imprimitive association schemes
Journal of Algebraic Combinatorics. 2023. V.57. N2. P.385-402. DOI: 10.1007/s10801-022-01193-4 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 6 нояб. 2021 г. |
| Принята к публикации: | 19 нояб. 2022 г. |
| Опубликована online: | 29 дек. 2022 г. |
| Опубликована в печати: | 31 янв. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:000906936800001 |
| Scopus: | 2-s2.0-85145202547 |
| РИНЦ: | 59894317 |
| OpenAlex: | W3208797046 |