Тип публикации: статья из журнала
Год издания: 2008
Идентификатор DOI: 10.1007/s11202-008-0022-z
Ключевые слова: involutory decomposition of a group, twisted subset, twisted subgroup
Аннотация: A subset K of some group C is called twisted if 1 is an element of K and x, y is an element of K implies that xy(-1)x belongs to K. We use the concept of twisted subset to investigate and generalize the concept of involutory decomposition of a group. A group is said to admit involutory decomposition if it contains some involution sПоказать полностьюuch that the group is the product of the centralizer of the involution and the set of elements inverted by the involution. We study the twisted subsets with at most one involution. We prove that if a twisted subset has no involutions at all then it generates a subgroup of odd order.
Журнал: SIBERIAN MATHEMATICAL JOURNAL
Выпуск журнала: Vol. 49, Is. 2
Номера страниц: 218-221
ISSN журнала: 00374466
Место издания: NEW YORK
Издатель: CONSULTANTS BUREAU/SPRINGER