Let k be a nite eld, k d jk the degree d extension of k, and G(k d) := GL n (k d) the general linear group with entries in k d. showed how to associate to any generator of the Galois group Gal(k d jk) a bijective mapping j from the set of Gal(k d jk)-invariant characters of G(k d) to the set of all irreducible characters of G(k) := GL n (k) which in a natural way generalizes the bijection N k d...

This paper is part of a program to study the conjecture of E. C. Dade on counting characters in blocks for several finite groups. The invariant conjecture of Dade is proved for general linear and unitary groups when the characteristic of the modular representation is distinct from the defining characteristic of the groups.

The relationship between leaf physiognomy and precipitation has been explored worldwide in regions under different climate conditions. Unlike the linear relationship established between the percentage of woody dicot species with entire margins and mean annual temperature, precipitation has been reported to correlate to different leaf physiognomic characters depending on the region where the cor...

Recently, the perfect phylogeny model with persistent characters has attracted great attention in literature. It is based on assumption that complex traits or can only be gained once and lost course of evolution. Here, we consider a generalization this model, namely Dollo parsimony, allows for multiple character losses. More precisely, take combinatorial perspective notion Dollo-k characters, i...

We will describe the relationship between indecomposable characters of Fin(N) and its ergodic invariant random subgroups; we interpret each Thoma character ?(?;?) as an asymptotic limit a naturally associated sequence induced from linear Young subgroups finite symmetric groups.