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.
Original languageEnglish
Pages (from-to)1630-1641
Number of pages12
JournalJournal of Mathematical Sciences
Volume120
Issue number4
StatePublished - 2004
Externally publishedYes

    Scopus subject areas

  • Algebra and Number Theory

ID: 42532914