Toward the abelian root groups conjecture for special Moufang sets

Yoav Segev

doi:10.1016/j.aim.2009.10.005

Toward the abelian root groups conjecture for special Moufang sets

Yoav Segev

Department of Mathematics

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

2 Scopus citations

Abstract

We prove that if a root group of a special Moufang set contains an element of order p ≡ 1 (mod 4) then it is abelian.

Original language	English
Pages (from-to)	1545-1554
Number of pages	10
Journal	Advances in Mathematics
Volume	223
Issue number	5
DOIs	https://doi.org/10.1016/j.aim.2009.10.005
State	Published - 20 Mar 2010

Keywords

Moufang set
Root group

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2009.10.005

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title = "Toward the abelian root groups conjecture for special Moufang sets",

abstract = "We prove that if a root group of a special Moufang set contains an element of order p ≡ 1 (mod 4) then it is abelian.",

keywords = "Moufang set, Root group",

author = "Yoav Segev",

note = "Funding Information: 1 Partially supported by BSF grant No. 2004-083.",

year = "2010",

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doi = "10.1016/j.aim.2009.10.005",

language = "English",

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T1 - Toward the abelian root groups conjecture for special Moufang sets

AU - Segev, Yoav

N1 - Funding Information: 1 Partially supported by BSF grant No. 2004-083.

PY - 2010/3/20

Y1 - 2010/3/20

N2 - We prove that if a root group of a special Moufang set contains an element of order p ≡ 1 (mod 4) then it is abelian.

AB - We prove that if a root group of a special Moufang set contains an element of order p ≡ 1 (mod 4) then it is abelian.

KW - Moufang set

KW - Root group

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DO - 10.1016/j.aim.2009.10.005

M3 - Article

AN - SCOPUS:75149169200

SN - 0001-8708

VL - 223

SP - 1545

EP - 1554

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 5

ER -

Toward the abelian root groups conjecture for special Moufang sets

Abstract

Keywords

ASJC Scopus subject areas

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