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Finite Homomorphic Images of Groups of Finite Rank Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2019, Том: 60, Номер: 3, Страницы: 373-376 Страниц : 4 DOI: 10.1134/S0037446619030017

Ключевые слова

group of finite rank; homomorphic image of a group; profinite group; residual finiteness; soluble group

Авторы

Azarov D.N. ¹ , Romanovskii N.S. ^2,3

Организации

1	Ivanovo State University, Ivanovo, Russian Federation
2	Sobolev Institute of Mathematics, Novosibirsk
3	Novosibirsk State University

Let π be a finite set of primes. We prove that each soluble group of finite rank contains a finite index subgroup whose every finite homomorphic π-image is nilpotent. A similar assertion is proved for a finitely generated group of finite rank. These statements are obtained as a consequence of the following result of the article: Each soluble pro-π-group of finite rank has an open normal pronilpotent subgroup. © 2019, Pleiades Publishing, Inc.

Azarov D.N. , Romanovskii N.S.
Finite Homomorphic Images of Groups of Finite Rank
Siberian Mathematical Journal. 2019. V.60. N3. P.373-376. DOI: 10.1134/S0037446619030017 WOS Scopus OpenAlex

Web of science:	WOS:000471617300001
Scopus:	2-s2.0-85067294069
OpenAlex:	W2952716200

БД	Цитирований
Scopus	1
OpenAlex	1
Web of science	2