Subsystem subgroups of the group of type F4 generated by short root subgroups

Research output

Abstract

The subsystem subgroups of the Chevalley group of type F4 generated by short root subgroups are found, and the minimal number of such generating subgroups is established. In particular, it is shown that the entire group of type F4 is generated by three short root subgroups, and the groups of type Bl and Cl are generated by l short root subgroups.

Original languageEnglish
Pages (from-to)69-80
Number of pages12
JournalSt. Petersburg Mathematical Journal
Volume31
Issue number1
DOIs
Publication statusPublished - Jan 2020

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Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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