Codistances of 3-spherical buildings

Details Codistances of 3-spherical buildings Codistances of 3-spherical buildings

2008-07-17

arxiv.org/abs/0807.2781v3

Mathematics

Group Theory

35 pages; revised after a referee's comments

Scientific paper

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.

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