منابع مشابه
Automorphisms and Opposition in Twin Buildings
We show that every automorphism of a thick twin building interchanging the halves of the building maps some residue to an opposite one. Furthermore, we show that no automorphism of a locally finite 2spherical twin building of rank at least 3 maps every residue of one fixed type to an opposite (a key step in the proof is showing that every duality of a thick finite projective plane admits an abs...
متن کاملNetwork coding and spherical buildings
We develop a network coding technique based on flags of subspaces and a corresponding network channel model. To define error correcting codes we introduce a new distance on the flag variety, the Grassmann distance on flags and compare it to the commonly used gallery distance for full flags.
متن کاملCodistances of 3-spherical buildings
We show that a 3-spherical building in which each rank 2 residue is connected far away from a chamber, and each rank 3 residue is simply 2-connected far away from a chamber, admits a twinning (i.e., is one half of a twin building) as soon as it admits a codistance, i.e., a twinning with a single chamber.
متن کامل: The Structure of Spherical Buildings
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متن کاملThe center conjecture for thick spherical buildings
We prove that a convex subcomplex of a spherical building of type E7 or E8 is a subbuilding or the group of building automorphisms preserving the subcomplex has a fixed point in it. Together with previous results of Mühlherr-Tits, and Leeb and the author, this completes the proof of Tits’ Center Conjecture for thick spherical buildings.
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2012
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-012-9643-0