On symmetric moore geometries

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 ...

Left-Right Symmetric Models in Noncommutative Geometries?

In the Standard Model of electro-weak and strong forces, parity is broken explicitly by the choice of inequivalent representations for leftand right-handed fermions. Within the frame work of Yang-Mills-Higgs models this is certainly an aesthetic draw back that physicists have tried to correct by the introduction of left-right symmetric models. These are Yang-Mills-Higgs models where parity is b...

Flat foliations of spherically symmetric geometries

We examine the solution of the constraints in spherically symmetric general relativity when spacetime has a flat spatial hypersurface. We demonstrate explicitly that given one flat slice, a foliation by flat slices can be consistently evolved. We show that when the sources are finite these slices do not admit singularities and we provide an explicit bound on the maximum value assumed by the ext...