Тип публикации: статья из журнала
Год издания: 1997
Идентификатор DOI: 10.1007/s10469-997-0066-3
Ключевые слова: simple group, finite field, Dynkin diagram, Chevalley group, finite simple group
Аннотация: We describe simple Lie-type groups of rank l≤3 over a finite field of odd characteristic, generated by three involutions of which two are commuting. Previously, the answers to the similar questions were given for alternating groups, for Lie-type groups over a finite field of characteristic 2, and for Lie-type groups of rank l≥4 oveПоказать полностьюr a finite field of odd characteristic. These furnish a description of finite simple non-Abelian groups, distinct from 26 sporadic groups, generated by three involutions two of which are commuting, thus giving a partial answer to question 7.30 posed by Mazurov in the Kourovka Notebook.
Журнал: Algebra and Logic
Выпуск журнала: Т. 36, № 4
Номера страниц: 245-256
ISSN журнала: 00025232
Место издания: Новосибирск
Издатель: Springer New York Consultants Bureau