On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors | Sciact - Система учета научной деятельности ИМ СО РАН

On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors Научная публикация

Журнал

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

Вых. Данные

Год: 2026, Том: 64, Номер: 2, Страницы: 84-01 Страниц : 8 DOI: 10.1007/s10469-026-09814-8

Ключевые слова

locally finite groups, series of a group, composition series, subgroups, non-locallysolvable groups.

Авторы

Buturlakin A.A. ¹

Организации

1	Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Информация о финансировании (1)

Российский научный фонд

23-41-10003

Given a group G, we refer to the maximum number of non-locally-solvable factors in any finite subnormal series of any subgroup of G as the b-dimension of G. We describe the structure of locally finite groups of finite b-dimension. This generalizes some known results on periodic linear groups and locally finite groups of finite c-dimension.

Buturlakin A.A.
On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors
Algebra and Logic. 2026. V.64. N2. P.84-01. DOI: 10.1007/s10469-026-09814-8 WOS Scopus OpenAlex

Поступила в редакцию:	1 окт. 2025 г.
Принята к публикации:	8 окт. 2025 г.
Опубликована online:	11 февр. 2026 г.

Web of science:	WOS:001686874700001
Scopus:	2-s2.0-105030046850
OpenAlex:	W7128600048

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