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Moufang sets from groups of mixed type

par Muhlherr, Bernhard ;maldeghem, Hendrik;van Maldeghem, Hendrik
Référence Journal of algebra, 300, page (820-833)
Publication Publié, 2006

Article révisé par les pairs

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Résumé :

We consider the existence of Moufang sets related to certain groups of mixed type. This way, we obtain new examples of Moufang sets and new constructions of known classes. The most interesting class of new examples is related to the Moufang quadrangles of type F4 and to the Ree-Tits octagon over a nonperfect field, and the root groups of each member have nilpotency class three. © 2006 Elsevier Inc. All rights reserved.