Тип публикации: статья из журнала
Год издания: 2022
Идентификатор DOI: 10.1134/S0037446622050111
Ключевые слова: 512.54, carpet of additive subgroups, carpet subgroup, chevalley group, defining relations, intermediate subgroups
Аннотация: The carpet subgroups admitting a Bruhat decomposition and different from Chevalleygroups are exhausted by the groups lying between the Chevalley groups of type $ B_{l} $, $ C_{l} $,$ F_{4} $, or $ G_{2} $ over various imperfect fields of exceptional characteristic 2or 3, the larger of which is an algebraic extension of the smallerfПоказать полностьюield. Moreover, as regards the types $ B_{l} $ and $ C_{l} $, these subgroups areparametrized by the pairs of additive subgroups one of which may fail to bea field and, for the type $ B_{2} $, even both additive subgroups may fail to be fields.In this paper for the carpet subgroups admitting a Bruhatdecomposition we present the relations similar to those well knownfor Chevalley groups over fields. © 2022, Pleiades Publishing, Ltd.
Журнал: Siberian Mathematical Journal
Выпуск журнала: Vol. 63, Is. 5
Номера страниц: 920-926
ISSN журнала: 00374466
Издатель: Pleiades journals