An EKR-theorem for finite buildings of type

作者：Ihringer Ferdinand; Metsch Klaus; Muehlherr Bernhard

来源：Journal of Algebraic Combinatorics, 2018, 47(4): 529-541.

DOI：10.1007/s10801-017-0784-0

• EKR-sets
• Polar spaces
• Finite buildings

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.

• 出版日期2018-6