Тип публикации: статья из журнала
Год издания: 2016
Идентификатор DOI: 10.1007/s10469-016-9408-3
Ключевые слова: Chevalley group, quasiclosed root system, carpet of additive subgroups, carpet subgroup
Аннотация: It is proved that a carpet subgroup of a Chevalley group of type I broken vertical bar over a field is a semidirect product whose kernel is defined by a unipotent carpet of type I broken vertical bar, while the noninvariant factor is a central product of carpet subgroups each of which is defined by an irreducible subcarpet of type Показать полностьюI broken vertical bar i for some indecomposable root subsystem I broken vertical bar (i) of I broken vertical bar. The obtained result can be viewed as an analog of the Levi decomposition.
Журнал: ALGEBRA AND LOGIC
Выпуск журнала: Vol. 55, Is. 5
Номера страниц: 367-375
ISSN журнала: 00025232
Место издания: NEW YORK
Издатель: SPRINGER