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The Closures of Wreath Products in Product Action Научная публикация

Журнал

Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302

Вых. Данные

Год: 2021, Том: 60, Номер: 3, Страницы: 188-195 Страниц : 8 DOI: 10.1007/s10469-021-09640-0

Ключевые слова

(1, 1)-superalgebra; left-symmetric algebra; Pierce decomposition; pre-Lie algebra; prime ring; right-symmetric ring

Авторы

Vasil’ev A.V. ^1,2 , Ponomarenko I.N. ^1,3

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Novosibirsk State University, Novosibirsk, Russian Federation
3	Санкт-Петербургское отделение Математического института им. В. А. Стеклова РАН

Let m be a positive integer and let Ω be a finite set. The m-closure of G ≤ Sym(Ω) is the largest permutation group G(m) on Ω having the same orbits as G in its induced action on the Cartesian product Ωm. An exact formula for the m-closure of the wreath product in product action is given. As a corollary, a sufficient condition is obtained for this m-closure to be included in the wreath product of the m-closures of the factors. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Vasil’ev A.V. , Ponomarenko I.N.
The Closures of Wreath Products in Product Action
Algebra and Logic. 2021. V.60. N3. P.188-195. DOI: 10.1007/s10469-021-09640-0 WOS Scopus OpenAlex

Web of science:	WOS:000714533400008
Scopus:	2-s2.0-85118576704
OpenAlex:	W4205872934

БД	Цитирований
Scopus	2
OpenAlex	3
Web of science	2