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The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G2 over a field of characteristic different from 2. Namely, the subgroups generated by a pair of short root subgroups are described, and the orbits of the Chevalley group, which acts by simultaneous conjugation on such pairs, are classified. Most of the calculations are valid for fields of characteristic 2.
Язык оригиналаанглийский
Страницы (с-по)1630-1641
Число страниц12
ЖурналJournal of Mathematical Sciences
Том120
Номер выпуска4
СостояниеОпубликовано - 2004
Опубликовано для внешнего пользованияДа

    Предметные области Scopus

  • Алгебра и теория чисел

    Области исследований

  • Chevalley group, Short root subgroup, Bruhat decomposition

ID: 42532914