Equations over solvable groups | Sciact - Система учета научной деятельности ИМ СО РАН

Equations over solvable groups Научная публикация

Журнал

Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X

Вых. Данные

Год: 2024, Том: 638, Страницы: 739-750 Страниц : 12 DOI: 10.1016/j.jalgebra.2023.10.004

Ключевые слова

Group theory, Solvable groups, Metabelian groups, Equations over groups, Systems of equations over groups, Group rings, Quasivarieties of groups, Group extensions, Howie conjecture

Авторы

Klyachko Anton A. ¹ , Mikheenko Mikhail A. ² , Roman'kov V.A. ^3,4

Организации

1	Faculty of Mechanics and Mathematics of Moscow State University, Moscow 119991, Leninskie gory, MSU, Russian Federation
2	Moscow Center for Fundamental and Applied Mathematics, Russian Federation
3	Omsk branch of Sobolev Institute of Mathematics, Omsk 644043, ul. Pevtsova, 13, Russian Federation
4	Dostoevsky Omsk State University

Информация о финансировании (1)

Российский научный фонд

22-21-00745

Not any nonsingular equation over a metabelian group has solution in a larger metabelian group. However, any nonsingular equation over a solvable group with a subnormal series with abelian torsion-free quotients has a solution in a larger group with a similar subnormal series of the same length (and an analogous fact is valid for systems of equations).

Klyachko A.A. , Mikheenko M.A. , Roman'kov V.A.
Equations over solvable groups
Journal of Algebra. 2024. V.638. P.739-750. DOI: 10.1016/j.jalgebra.2023.10.004 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	9 апр. 2023 г.
Опубликована online:	11 окт. 2023 г.
Опубликована в печати:	15 янв. 2024 г.

Web of science:	WOS:001122447500001
Scopus:	2-s2.0-85174457571
РИНЦ:	64873463
OpenAlex:	W4387523534

БД	Цитирований
OpenAlex	3
Scopus	1
Web of science	1
РИНЦ	2