The well known fact that there is always one more addable than re movable box for a Young diagram is generalized to arbitrary hooks As an application this implies immediately a simple proof of aâ€¦ (More)

We give a complete classification of the unique path partitions and study congruence properties of the function which enumerates such partitions. Mathematics Subject Classification (2010). 05A17,â€¦ (More)

In 1998, the second author raised the problem of classifying the irreducible characters of Sn of prime power degree. Zalesskii proposed the analogous problem for quasi-simple groups, and he has, inâ€¦ (More)

An explicit bijection is constructed between partitions of a positive integer n with exactly j even parts which are all different, and bipartitions (x1; n2) of n into distinct parts such that 1(n2)=jâ€¦ (More)

We present a general construction of involutions on integer partitions which enable us to prove a number of modulo 2 partition congruences. Introduction The theory of partitions is a beautifulâ€¦ (More)

Frieze patterns (in the sense of Conway and Coxeter) are in close connection to triangulations of polygons. Broline, Crowe and Isaacs have assigned a symmetric matrix to each polygon triangulationâ€¦ (More)

Using generating functions a very simple explicit formula for the determinants of the p-Cartan matrices of symmetric groups is given. Our method works also when p is a composite number.

In a recent paper [2], Andrews and Olsson proved a general theorem on partitions with difference conditions. A special case of this supplied further evidence for the Mullineux conjecture in theâ€¦ (More)

In this paper we classify all Schur functions and skew Schur functions that are multiplicity free when expanded in the basis of fundamental quasisymmetric functions, termed F-multiplicity free.â€¦ (More)