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

Mathematics (all)
Applied Mathematics

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10.1142/S0219199708002867

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title = "Finite special moufang sets of odd characteristic",

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.",

keywords = "Moufang set, Root group",

author = "Yoav Segev",

note = "Funding Information: I would like to thank Tom De Medts for detailed remarks which improved the exposition of this paper. I also thank the referee for the careful reading of the paper and for several useful comments. This work was partially supported by BSF grant no. 2004-083.",

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N1 - Funding Information: I would like to thank Tom De Medts for detailed remarks which improved the exposition of this paper. I also thank the referee for the careful reading of the paper and for several useful comments. This work was partially supported by BSF grant no. 2004-083.

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N2 - 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.

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

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DO - 10.1142/S0219199708002867

M3 - Article

AN - SCOPUS:44649145154

SN - 0219-1997

VL - 10

SP - 455

EP - 475

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 3

ER -

Finite special moufang sets of odd characteristic

Abstract

Keywords

ASJC Scopus subject areas

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