Recognition of symplectic and orthogonal groups of small dimensions by spectrum Научная публикация
| Журнал |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
||||
|---|---|---|---|---|---|
| Вых. Данные | Год: 2019, Том: 18, Номер: 12, Номер статьи : 1950230, Страниц : 33 DOI: 10.1142/s021949881950230x | ||||
| Ключевые слова | orders of elements; recognition by spectrum; Simple classical group | ||||
| Авторы |
|
||||
| Организации |
|
Реферат:
We refer to the set of the orders of elements of a finite group as its spectrum and say that finite groups are isospectral if their spectra coincide. In this paper, we determine all finite groups isospectral to the simple groups S6(q), O7(q), and O8+(q). In particular, we prove that with just four exceptions, every such finite group is an extension of the initial simple group by a (possibly trivial) field automorphism.
Библиографическая ссылка:
Grechkoseeva M.A.
, Vasil’ev A.V.
, Zvezdina M.A.
Recognition of symplectic and orthogonal groups of small dimensions by spectrum
Journal of Algebra and its Applications. 2019. V.18. N12. 1950230 :1-33. DOI: 10.1142/s021949881950230x WOS Scopus OpenAlex
Recognition of symplectic and orthogonal groups of small dimensions by spectrum
Journal of Algebra and its Applications. 2019. V.18. N12. 1950230 :1-33. DOI: 10.1142/s021949881950230x WOS Scopus OpenAlex
Даты:
| Поступила в редакцию: | 13 июл. 2018 г. |
| Принята к публикации: | 27 окт. 2018 г. |
| Опубликована в печати: | 29 янв. 2019 г. |
Идентификаторы БД:
| Web of science: | WOS:000495372300010 |
| Scopus: | 2-s2.0-85060727702 |
| OpenAlex: | W2808732015 |