Journal article

The Exceptional Tits Quadrangles Revisited


Authors listMuehlherr, Bernhard; Weiss, Richard M.

Publication year2022

JournalTransformation Groups

ISSN1083-4362

eISSN1531-586X

Open access statusHybrid

DOI Linkhttps://doi.org/10.1007/s00031-022-09741-9

PublisherSpringer


Abstract
Tits polygons are generalizations of Moufang polygons in which the neighborhood of each vertex is endowed with an "opposition relation." There is a standard construction that produces a Tits polygon from an arbitrary irreducible spherical building of rank at least 3 when paired with a suitable Tits index. In this note, we complete the proof of a characterization of the Tits quadrangles that arise in this way from the spherical building associated to an exceptional algebraic group.



Citation Styles

Harvard Citation styleMuehlherr, B. and Weiss, R. (2022) The Exceptional Tits Quadrangles Revisited, Transformation Groups. https://doi.org/10.1007/s00031-022-09741-9

APA Citation styleMuehlherr, B., & Weiss, R. (2022). The Exceptional Tits Quadrangles Revisited. Transformation Groups. https://doi.org/10.1007/s00031-022-09741-9



Keywords


BuildingExceptional groupTits polygon


SDG Areas


Last updated on 2025-10-06 at 11:42