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(Almost strongly minimal) generalized n-gons are constructed for all n 3 for which the automorphism group acts transitively on the set of ordered ordinary (nj1)-gons contained in it, a new class of BN-pairs thus being obtained. Through the construction being modified slightly, 2 A ! many non-isomorphic almost strongly minimal generalized n-gons are obtained(More)
We show that any pseudofinite group with NIP theory and with a finite upper bound on the length of chains of centralisers is soluble-by-finite. In particular, any NIP rosy pseudofinite group is soluble-by-finite. This generalises, and shortens the proof of, an earlier result for stable pseudofinite groups. An example is given of an NIP pseudofinite group(More)
We give a uniform construction of free pseudospaces of dimension n extending work in [1]. 3 This yields examples of-stable theories which are n-ample, but not n + 1-ample. The prime models of 4 these theories are buildings associated to certain right-angled Coxeter groups. 5 §1. Introduction. In the investigation of geometries on strongly minimal sets the 6(More)