The following dichotomy is established for any pair F, G of hereditary families of finite subsets of N: Given N, an infinite subset of N, there exists M an infinite subset of N so that either ...

Group theory serves as a fundamental language for describing symmetry in both mathematics and physics. Finite groups, defined by their limited number of elements, are central to modern algebra and ...

This is a preview. Log in through your library . Abstract In this paper we give a new estimate of the cardinality of the product of subsets AB in a finite non-abelian simple group, where A is normal ...

The Bristol One-Day Meeting in Combinatorics is an annual conference in Bristol with talks on a wide variety of topics within Combinatorics. Talks will cover recent developments in extremal and ...