Tits polygons

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 prop...

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Hauptverfasser:	Mühlherr, Bernhard, Weiss, Richard, Petersson, Holger P.
Format:	E-Book Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island American Mathematical Society 2022
Ausgabe:	1
Schriftenreihe:	Memoirs of the American Mathematical Society
Schlagworte:	Buildings (Group theory) Geometry > Finite geometry and special incidence structures > Buildings and the geometry of diagrams. msc Geometry > Finite geometry and special incidence structures > Generalized quadrangles, generalized polygons. msc Graph theory Group theory and generalizations > Structure and classification of infinite or finite groups > Groups with a $BN$-pair; buildings. msc Jordan algebras Moufang loops Nonassociative rings and algebras > Jordan algebras (algebras, triples and pairs) > Exceptional Jordan structures. msc Polygons descent Moufang sets Moufang polygons buildings
ISBN:	1470451018, 9781470451011
ISSN:	0065-9266, 1947-6221
Online-Zugang:	Volltext
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