Reciprocity in character theory of finite semigroups

Decidability and Tameness in the Theory of Finite Semigroups

decidability and tameness in the theory of finite semigroups

Decidability and Tameness in the Theory of Finite Semigroups

This is a survey of results of the profinite approach to decidability problems in the theory of finite semigroups.

RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS

The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...

Equations in Finite Semigroups

We study the number of solutions of the general semigroup equation in one variable, X α = X β , as well as of the system of equations X 2 = X, Y 2 = Y, XY = Y X in H ≀ T n , the wreath product of an arbitrary finite group H with the full transformation semigroup T n on n letters. For these solution numbers, we provide explicit exact formulae, as well as asymptotic estimates. Our results concern...