[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j200015

DAGGER-SHARP TITS OCTAGONS

Muhlherr, Bernhard (Mathematisches Institut Universitat Giessen)
Weiss, Richard M. (Department of Mathematics Tufts University)

Publication Information

Journal of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 173-205 More about this Journal

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.

Keywords

Building; Moufang polygon; Tits polygon; exceptional group;

Citations & Related Records

Reference

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