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 Показать полностьюtotality 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