Тип публикации: статья из журнала
Год издания: 2023
Идентификатор DOI: 10.1007/s10469-023-09725-y
Ключевые слова: algebra, Mathematical logic and foundations
Аннотация: A group G is called a Shunkov group (a conjugate biprimitive finite group) if, for any of its finite subgroups H in the factor group NG(H)/H, every two conjugate elements of prime order generate a finite subgroup. We say that a group is saturated with groups from the set if any finite subgroup of the given group is contained in itПоказать полностьюs subgroup isomorphic to some group in . We show that a Shunkov group G which is saturated with groups from the set possessing specific properties, and contains an involution z with the property that the centralizer CG(z) has only finitely many elements of finite order will have a periodic part isomorphic to one of the groups in . In particular, a Shunkov group G that is saturated with finite almost simple groups and contains an involution z with the property that the centralizer CG(z) has only finitely many elements of finite order will have a periodic part isomorphic to a finite almost simple group.
Журнал: Algebra and Logic
Выпуск журнала: Т.62, №1
Номера страниц: 66-71
ISSN журнала: 00025232
Место издания: Новосибирск
Издатель: Springer New York Consultants Bureau