On rank 4 projective planes.
On rank 5 projective planes.
On sets of vectors of a finite vector space in which every subset of basis size is a basis
It is shown that the maximum size of a set of vectors of a -dimensional vector space over , with the property that every subset of size is a basis, is at most , if , and at most , if , where and is prime. Moreover, for , the sets of maximum size are classified, generalising Beniamino Segre’s “arc is a conic” theorem. These results have various implications. One such implication is that a matrix, with and entries from , has columns which are linearly dependent. Another is...
On small dense sets in Galois planes.
On some flag-transitive non-classical -geometries. II.
On some hyperbolic planes from finite projective planes.
On some properties of a class of geometrical figures.
On Squashed Designs.
On swell-colored complete graphs.
On Ternary Rings of Derivable Planes.
On the Collineation Groups of Derived Semifield Planes.
On the construction of cyclic quadruple systems
On the functional equation ... (Short Communication).
On the graphs of Hoffman-Singleton and Higman-Sims.
On the Group of Transformations of Constructible Euclidean Planes with Preserve a Single Distance.
On the Haagerup inequality and groups acting on -buildings
Let be a group endowed with a length function , and let be a linear subspace of . We say that satisfies the Haagerup inequality if there exists constants such that, for any , the convolutor norm of on is dominated by times the norm of . We show that, for , the Haagerup inequality can be expressed in terms of decay of random walks associated with finitely supported symmetric probability measures on . If is a word length function on a finitely generated group , we show that,...
On the history of generalized quadrangles.
On the linearity of higher-dimensional blocking sets.
On the loop inequality for euclidean buildings
We give an estimate for the number of closed loops of given length in the 1-skeleton of a thick euclidean building. This kind of estimate can be used to prove the (RD) property for the subspace of radial functions on groups, as shown in the paper by A. Valette [same issue].
On the non-existence of certain hyperovals in dual André planes of order 2.