Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2021

Идентификатор DOI: 10.46698/G1659-3294-1306-K

Ключевые слова: carpet of additive subgroups, carpet subgroup, chevalley group, commutative ring

Аннотация: Relationships between two hypothetical conditions for the closedness of carpets of Lie type over commutative rings are considered. The results of A. K. Gutnova and V. A. Koibaev (Vestnik of Saint Petersburg University, Mathematics. Mechanics. Astronomy, 2020) on the separation of classes of weakly supplemented and supplemented matrix carpets over fields of characteristic 0 and 2 are carried over to carpets of any Lie type over commutative rings even characteristic. It is established that these classes of carpets are also separated by examples of irreducible closed carpets of type Bl and Cl over nonperfect fields of characteristic 2, parametrized by two additive subgroups, which were constructed in the work of Ya. N. Nuzhin and A. V. Stepanov (Algebra and Analysis, 2019) to obtain non-standard groups between Chevalley groups over a field and its subfield. © 2021 Southern Mathematical Institute of VSC RAS. All right reserved.

Журнал: Vladikavkaz Mathematical Journal

Выпуск журнала: Vol. 23, Is. 4

Номера страниц: 28-34

ISSN журнала: 18140807

Издатель: Southern Mathematical Institute of VSC RAS

• Badin P.S. (Institute of Mathematics and Computer Science, Siberian Federal University, 79 Svobodny Ave., Krasnoyarsk, 660041, Russian Federation)
• Nuzhin Y.N. (Institute of Mathematics and Computer Science, Siberian Federal University, 79 Svobodny Ave., Krasnoyarsk, 660041, Russian Federation)
• Troyanskaya E.N. (Institute of Mathematics and Computer Science, Siberian Federal University, 79 Svobodny Ave., Krasnoyarsk, 660041, Russian Federation)

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