On groups whose conjugacy class sizes are not divisible by each other | Sciact - Система учета научной деятельности ИМ СО РАН

On groups whose conjugacy class sizes are not divisible by each other Научная публикация

Журнал

Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
ISSN: 0134-4889 , E-ISSN: 2658-4786

Вых. Данные

Год: 2025, Том: 31, Номер: 4, Страницы: 300–308 Страниц : DOI: 10.21538/0134-4889-2025-31-4-300-308

Ключевые слова

prime graph components, finite-groups

Авторы

Yang Nanying ¹ , Gorshkov Ilya ^2,3

Организации

1	Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
2	Sobolev Institute of Mathematics
3	Siberian Federal University

Информация о финансировании (1)

Российский научный фонд

24-41-10004

Let G be a finite group and N(G) be the set of its conjugacy class sizes excluding 1. Let us define a directed graph F(G), the set of vertices of this graph is N(G) and the vertices x and y are connected by an arc from x to y if x divides y and N(G) does not contain a number z different from x and y such that x divides z and z divides y. We will call the graph F(G) the conjugate graph of the group G. In this work, we will study finite groups whose conjugate graph is a set of isolated vertices.

Yang N. , Gorshkov I.
On groups whose conjugacy class sizes are not divisible by each other
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2025. V.31. N4. P.300–308. DOI: 10.21538/0134-4889-2025-31-4-300-308 WOS

Опубликована в печати:	25 нояб. 2025 г.
Опубликована online:	25 нояб. 2025 г.

Web of science:

WOS:001671047000022

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