We develop a method for measuring homology classes. This involves three problems. First, we define the size of a homology class, using ideas from relative homology. Second, we defi...
We present various techniques to count proportions of permutations with restricted cycle structure in finite permutation groups. For example, we show how a generalized block theo...
Abstract. We present a novel hybrid method that includes a modulated scheme for reducing the distortion of the reconstructed image and a two-layered structure for grouping particip...
Abstract. Symmetry properties of r-times covariant tensors T can be described by certain linear subspaces W of the group ring K[Sr] of a symmetric group Sr. If for a class of tenso...
Public-key cryptographic systems often involve raising elements of some group (e.g. GF(2n), Z/NZ, or elliptic curves) to large powers. An important question is how fast this expon...