On pm$^+$ and finite character bi-amalgamation

On Finite Groups With Two Irreducible Character Degrees

Disjoint Amalgamation in Locally Finite AEC

We introduce the concept of a locally finite abstract elementary class and develop the theory of excellence (with respect to disjoint ( , k)-amalgamation) for such classes. From this we find a family of complete L!1,! sentences r that a) homogeneously characterizes @r (improving results of Hjorth [12] and Laskowski-Shelah [14] and answering a question of [22]), while b) the r provide the first...

on the total character of finite groups

for a finite group $g$‎, ‎we study the total character $tau_g$‎ ‎afforded by the direct sum of all the non-isomorphic irreducible‎ ‎complex representations of $g$‎. ‎we resolve for several classes of‎ ‎groups (the camina $p$-groups‎, ‎the generalized camina $p$-groups‎, ‎the groups which admit $(g,z(g))$ as a generalized camina pair)‎, ‎the problem of existence of a‎ ‎polynomial $f(x) in mathbb...

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...

Bi-semiorders with frontiers on finite sets

This paper studies an extension of bi-semiorders in which a “frontier” is added between the various relations used. This extension is motivated by the study of additive representations of ordered partitions and coverings defined on product sets of two components.

Semisimplicity, Amalgamation Property and Finite Embeddability Property of Residuated Lattices

In this thesis, we study semisimplicity, amalgamation property and finite embeddability property of residuated lattices. We prove semisimplicity and amalgamation property of residuated lattices which are of purely algebraic character, by using proof-theoretic methods and results of substructural logics. On the other hand, we show the finite model property (FMP) for various substructural logics,...