Special moufang sets in which the μ-maps corresponding to elements of finite order are involutions

Yoav Segev

doi:10.1080/00927871003789165

Special moufang sets in which the μ-maps corresponding to elements of finite order are involutions

Yoav Segev

Department of Mathematics

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

Abstract

We prove that if IM(U, τ) is a special Moufang set such that U contains nontrivial elements of finite order and such that μ_a² = 1 for each a ∈ U* of finite order, then U is abelian.

Original language	English
Pages (from-to)	1777-1781
Number of pages	5
Journal	Communications in Algebra
Volume	39
Issue number	5
DOIs	https://doi.org/10.1080/00927871003789165
State	Published - 1 May 2011

Keywords

Moufang set
Special

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927871003789165

Cite this

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title = "Special moufang sets in which the μ-maps corresponding to elements of finite order are involutions",

abstract = "We prove that if IM(U, τ) is a special Moufang set such that U contains nontrivial elements of finite order and such that μa2 = 1 for each a ∈ U* of finite order, then U is abelian.",

keywords = "Moufang set, Special",

author = "Yoav Segev",

note = "Funding Information: I thank the referee for the quick and thorough work and for several comments that improved the readability of the article. Partially supported by BSF grant No. 2004-083.",

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N2 - We prove that if IM(U, τ) is a special Moufang set such that U contains nontrivial elements of finite order and such that μa2 = 1 for each a ∈ U* of finite order, then U is abelian.

AB - We prove that if IM(U, τ) is a special Moufang set such that U contains nontrivial elements of finite order and such that μa2 = 1 for each a ∈ U* of finite order, then U is abelian.

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Special moufang sets in which the μ-maps corresponding to elements of finite order are involutions

Abstract

Keywords

ASJC Scopus subject areas

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