Сибирский федеральный университет

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 I 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

• Nuzhin Ya. N. (Siberian Fed Univ, Inst Math & Comp Sci, Pr Svobodnyi 79, Krasnoyarsk 660041, Russia)

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