On the action of the Hua subgroups in special Moufang sets

Yoav Segev, Richard M. Weiss

Research output: Contribution to journalArticlepeer-review

12 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 languageEnglish
Pages (from-to)77-84
Number of pages8
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume144
Issue number1
DOIs
StatePublished - 1 Jan 2008

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