Journal article
Authors list: Muehlherr, Bernhard; Weiss, Richard M.
Publication year: 2021
Pages: 173-205
Journal: Journal- Korean Mathematical Society
Volume number: 58
Issue number: 1
ISSN: 0304-9914
eISSN: 2234-3008
DOI Link: https://doi.org/10.4134/JKMS.j200015
Publisher: Korean Mathematical Society
Abstract:
The spherical buildings associated with absolutely simple algebraic groups of relative rank 2 are all Moufang polygons. Tits polygons are a more general class of geometric structures that includes Moufang polygons as a special case. Dagger-sharp Tits n-gons exist only for n = 3, 4, 6 and 8. Moufang octagons were classified by Tits. We show here that there are no dagger-sharp Tits octagons that are not Moufang. As part of the proof it is shown that the same conclusion holds for a certain class of dagger-sharp Tits quadrangles.
Citation Styles
Harvard Citation style: Muehlherr, B. and Weiss, R. (2021) DAGGER-SHARP TITS OCTAGONS, Journal- Korean Mathematical Society, 58(1), pp. 173-205. https://doi.org/10.4134/JKMS.j200015
APA Citation style: Muehlherr, B., & Weiss, R. (2021). DAGGER-SHARP TITS OCTAGONS. Journal- Korean Mathematical Society. 58(1), 173-205. https://doi.org/10.4134/JKMS.j200015
Keywords
Building; Exceptional group; Moufang polygon; Tits polygon
