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[null,"1.","Record Nr.",null,"UNINA9910959854403321"]
[null,null,"Autore",null,"Mühlherr Bernhard"]
[null,null,"Titolo",null,"Tits Polygons"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 2022"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"9781470470180"]
[{"$nulls":4},"1470470187"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (132 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; v.275"]
[null,null,"Classificazione",null,"17C4020E4251E1251E24"]
[null,null,"Disciplina",null,"512/.2"]
[null,null,"Soggetti",null,"Moufang loops"]
[{"$nulls":4},"Jordan algebras"]
[{"$nulls":4},"Buildings (Group theory)"]
[{"$nulls":4},"Graph theory"]
[{"$nulls":4},"Polygons"]
[{"$nulls":4},"Nonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Exceptional Jordan structures"]
[{"$nulls":4},"Group theory and generalizations -- Structure and classification of infinite or finite groups -- Groups with a $BN$-pair; buildings"]
[{"$nulls":4},"Geometry -- Finite geometry and special incidence structures -- Generalized quadrangles, generalized polygons"]
[{"$nulls":4},"Geometry -- Finite geometry and special incidence structures -- Buildings and the geometry of diagrams"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"January 2022, volume 275, number 1352 (sixth of 6 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Tits polygons -- Tits hexagons -- Groups of relative rank 1 -- Appendix / by Holger P. Petersson."]
[null,null,null,"Sommario/riassunto","\"We introduce the notion of a Tits polygon, a generalization of the notion of a Moufang polygon, and show that Tits polygons arise in a natural way from certain configurations of parabolic subgroups in an arbitrary spherical buildings satisfying the Moufang condition. We establish numerous basic properties of Tits polygons and characterize a large class of Tits hexagons in terms of Jordan algebras. We apply this classification to give a \"rank 2\" presentation for the group of F-rational points of an arbitrary exceptional simple group of F-rank at least 4 and to determine defining relations for the group of F-rational points of an an arbitrary group of Frank 1 and absolute type D4, E6, E7 or E8 associated to the unique vertex of the Dynkin diagram that is not "]
[{"$nulls":4},"orthogonal to the highest root. All of these results are over a field of arbitrary characteristic\"--"]