Journalartikel

Jahr der Veröffentlichung: 2018

Seiten: 529-541

Zeitschrift: Journal of Algebraic Combinatorics

Bandnummer: 47

Heftnummer: 4

ISSN: 0925-9899

eISSN: 1572-9192

DOI Link: https://doi.org/10.1007/s10801-017-0784-0

Verlag: Springer

Abstract: 
We define optimal EKR-sets in finite buildings. This definition is motivated by various contributions on optimal EKR-sets in finite projective spaces and polar spaces. Our main result is the classification of optimal EKR-sets of type in finite building of type with even. As it is the case for most of the known optimal EKR-sets in finite buildings, our EKR-sets have a natural center. This provides some evidence that the EKR-problem for finite buildings and Tits center conjecture are closely related.

Harvard-Zitierstil: Ihringer, F., Metsch, K. and Muehlherr, B. (2018) An EKR-theorem for finite buildings of type, Journal of Algebraic Combinatorics, 47(4), pp. 529-541. https://doi.org/10.1007/s10801-017-0784-0

APA-Zitierstil: Ihringer, F., Metsch, K., & Muehlherr, B. (2018). An EKR-theorem for finite buildings of type. Journal of Algebraic Combinatorics. 47(4), 529-541. https://doi.org/10.1007/s10801-017-0784-0