Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2018

Идентификатор DOI: 10.1007/s10469-018-9480-y

Ключевые слова: periodic group, group of Lie type, simple group

Аннотация: A group G is saturated with groups from a set a"e of groups if every finite subgroup of G is contained in a subgroup of G that is isomorphic to some group in a"e. Previously [Kourovka Notebook, Quest. 14.101], the question was posed whether a periodic group saturated with finite simple groups of Lie type whose ranks are bounded in totality is itself a simple group of Lie type. A partial answer to this question is given for groups of Lie type of rank 1. We prove the following: Let a periodic group G be saturated with finite simple groups of Lie type of rank 1. Then G is isomorphic to a simple group of Lie type of rank 1 over a suitable locally finite field.

Журнал: ALGEBRA AND LOGIC

Выпуск журнала: Vol. 57, Is. 1

Номера страниц: 81-86

ISSN журнала: 00025232

Место издания: NEW YORK

Издатель: SPRINGER

• Shlepkin A.A.

• Web of Science Core Collection
• Scopus
• РИНЦ (eLIBRARY.RU)