For a p-block B of a finite group G, we give a bound of the order of its defect group D in terms of k(B), the number of the irreducible ordinary characters in B
The cookie-cutter-like sets are defined as the limit sets of a sequence of classical cookiecutter mappings. By introducing Gibbs-like measures, we study the dim
Some atomic decomposition theorems for Banach-space-valued martingales are established. Using them, the embedding relationships between martingale spaces with s