On generalized Moore geometries, I

On Symmetric Moore Geometries

Moore Geometries ( Part Iv

For the relevant literature and most of the definitions and conventions the reader is referred to [1]. The next section contains an explicit description of the (reduced) characteristic polynomial of L4(s, t), and it is shown that this polynomial admits a decomposition into two closely related factors of degree 2 each. In Section 3 it is first shown that at least one of these factors must be red...

MOORE GEOMETRIES AND RANK 3 GROUPS HAVING / m = l t

In view of the standard correspondence between transitive groups and certain graphs, this result can be rephrased in the following manner. Let F be a graph which is connected and not complete. Assume that G « Aut F is transitive both on ordered adjacent and non-adjacent pairs of points, and that two non-adjacent points are adjacent to exactly one point. Then T has no triangles, and G and T are ...

On the Eilenberg-moore Spectral Sequence for Generalized Cohomology Theories

We prove that the Morava-K-theory-based Eilenberg-Moore spectral sequence has good convergence properties whenever the base space is a p-local finite Postnikov system with vanishing (n + 1)st homotopy group.

Beyond Moore-Penrose Part I: Generalized Inverses that Minimize Matrix Norms

This is the first paper of a two-long series in which we study linear generalized inverses that minimize matrix norms. Such generalized inverses are famously represented by the Moore-Penrose pseudoinverse (MPP) which happens to minimize the Frobenius norm. Freeing up the degrees of freedom associated with Frobenius optimality enables us to promote other interesting properties. In this Part I, w...