Finite special moufang sets of odd characteristic

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Abstract

In this paper we classify finite special Moufang sets (U,τ) of odd characteristic. The characteristic 2 case was handled in another paper by De Medts and the author (see [3]). We prove that U is elementary abelian. Then, we show that (U,τ) is the unique Moufang set whose little projective group is PSL2(|U|). The emphasis of this paper is on obtaining elementary proofs. Section 3 deals with root subgroups in any Moufang set and may be of independent interest.

Original languageEnglish
Pages (from-to)455-475
Number of pages21
JournalCommunications in Contemporary Mathematics
Volume10
Issue number3
DOIs
StatePublished - 1 Jun 2008

Keywords

  • Moufang set
  • Root group

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