Journal article

An EKR-theorem for finite buildings of type


Authors list: Ihringer, Ferdinand; Metsch, Klaus; Muehlherr, Bernhard

Publication year: 2018

Pages: 529-541

Journal: Journal of Algebraic Combinatorics

Volume number: 47

Issue number: 4

ISSN: 0925-9899

eISSN: 1572-9192

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

Publisher: 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.



Citation Styles

Harvard Citation style: 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 Citation style: 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



Keywords

CENTER CONJECTURE; EKR-sets; Finite buildings; KO-RADO THEOREM; Polar spaces

Last updated on 2025-02-04 at 01:20