Finite special moufang sets of odd characteristic

Yoav Segev

doi:10.1142/S0219199708002867

Finite special moufang sets of odd characteristic

Yoav Segev

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 language	English
Pages (from-to)	455-475
Number of pages	21
Journal	Communications in Contemporary Mathematics
Volume	10
Issue number	3
DOIs	https://doi.org/10.1142/S0219199708002867
State	Published - 1 Jun 2008

Keywords

Moufang set
Root group

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199708002867

Cite this

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AB - 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.

KW - Moufang set

KW - Root group

UR - https://www.scopus.com/pages/publications/44649145154

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DO - 10.1142/S0219199708002867

M3 - Article

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JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

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ER -

Finite special moufang sets of odd characteristic

Abstract

Keywords

ASJC Scopus subject areas

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