Paley graphs are well-known combinatorial objects which have
many interesting properties. Many of these properties come from
their symmetry under the automorphisms x-->ax+b of the affine
line over a finite field F with q elements (q=4m+1). We...
Given a higher rank arithmetic group (E.g. SL(3,Z)) it has r(n)
complex irreducible representations of degree n. We will study the
the rate of growth of r(n), the associated zeta function
SUM(r(n)n^(-s)), its Euler factorisation etc. Some...
The classification of finite simple groups is widely
acknowledged to be one of the major results in modern mathematics.
The successful completion of its proof was announced in the early
1980's by Daniel Gorenstein. The original proof occupied...
Closed subgroups of the automorphism group of a tree which acts
locally primitively have a rich structure theory. Combined with
superrigidity for irreducible lattices in products of trees such
that the projection in each factor is locally primitive...
