Linearly reductive finite subgroup schemes of SL (3)

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We determine the linearly reductive finite subgroup schemes G of SL(3,F), namely those all of whose modules are completely reducible, where F is an algebraically closed field of positive characteristic, up to conjugation.This extends work of M. Hashimoto from SL(2,F) to SL(3,F).

Original languageEnglish
Pages (from-to)437-442
Number of pages6
JournalSao Paulo Journal of Mathematical Sciences
Issue number2
StatePublished - Dec 2020


  • Complete reducibility
  • Finite group schemes
  • Finite linear groups
  • Linearly reductive algebraic groups
  • SL(2, F)
  • SL(3, F)


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