- Full text PDF available (27)
- This year (0)
- Last 5 years (9)
- Last 10 years (20)
Journals and Conferences
(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 (n1)-gons contained in it, a new class of BN-pairs thus being obtained. Through the construction being modified slightly, 2! many non-isomorphic almost strongly minimal generalized n-gons are obtained… (More)
We introduce a new notion of computable function on R and prove some basic properties. We give two applications, first a short proof of Yoshinaga’s theorem that periods are elementary (they are actually lower elementary). We also show that the lower elementary complex numbers form an algebraically closed field closed under exponentiation and some other… (More)
Article history: Received 11 March 2013 Available online 9 June 2014 Communicated by Gernot Stroth
We give a uniform construction of free pseudospaces of dimension n extending work in . This yields examples of ω-stable theories which are n-ample, but not n+1-ample. The prime models of these theories are buildings associated to certain right-angled Coxeter groups.
We give a general criterion for the (bounded) simplicity of the automorphism groups of certain countable structures and apply it to show that the isometry group of the Urysohn space modulo the normal subgroup of bounded isometries is a simple group.
Asymptotic cones of metric spaces were first invented by Gromov. They are metric spaces which capture the ’large-scale structure’ of the underlying metric space. Later, van den Dries and Wilkie gave a more general construction of asymptotic cones using ultrapowers. Certain facts about asymptotic cones, like the completeness of the metric space, now follow… (More)
a r t i c l e i n f o a b s t r a c t Let M be a countably infinite first order relational structure which is homogeneous in the sense of Fraïssé. We show, under the assumption that the class of finite substructures of M has the free amalgamation property, along with the assumption that Aut(M) is transitive on M but not equal to Sym(M), that Aut(M) is a… (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)
If Γ is a 2-Moufang generalized n-gon for n ≤ 6, then Γ is Moufang. © 2004 Elsevier Ltd. All rights reserved. MSC: 20E42; 51E12; 05C25