On the action of the Hua subgroups in special Moufang sets

Yoav Segev; Richard M. Weiss

doi:10.1017/S030500410700062X

On the action of the Hua subgroups in special Moufang sets

Yoav Segev
, Richard M. Weiss

Department of Mathematics

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

16 Scopus citations

Abstract

We show that in a special Moufang set, either the root groups are elementary abelian 2-groups, or the Hua subgroup H (= the Cartan subgroup) acts irreducibly on U, i.e. the only non-trivial H-invariant subgroup of a root group normalized by H is the whole root group.

Original language	English
Pages (from-to)	77-84
Number of pages	8
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	144
Issue number	1
DOIs	https://doi.org/10.1017/S030500410700062X
State	Published - 1 Jan 2008

ASJC Scopus subject areas

General Mathematics

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title = "On the action of the Hua subgroups in special Moufang sets",

abstract = "We show that in a special Moufang set, either the root groups are elementary abelian 2-groups, or the Hua subgroup H (= the Cartan subgroup) acts irreducibly on U, i.e. the only non-trivial H-invariant subgroup of a root group normalized by H is the whole root group.",

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AB - We show that in a special Moufang set, either the root groups are elementary abelian 2-groups, or the Hua subgroup H (= the Cartan subgroup) acts irreducibly on U, i.e. the only non-trivial H-invariant subgroup of a root group normalized by H is the whole root group.

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DO - 10.1017/S030500410700062X

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JO - Mathematical Proceedings of the Cambridge Philosophical Society

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On the action of the Hua subgroups in special Moufang sets

Abstract

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