Search results for "character"

Sonia ou le sens retrouvé. Notes sur la rédemption et le salut dans Crime et châtiment

2013

Este artículo propone un nuevo acercamiento a los temas de la redención y de la salvación en Crimen y castigo a través del análisis del personaje de Sonia. Destacaremos que la novela de Dostoïevski está estructurada por una serie de interrogaciones sobre el bien y la salvación terrestre y divina a los cuales Sonia da nuevas respuestas y nuevo sentido. Estas interrogaciones son las siguientes: ¿en qué medida los hombres deben ser buenos? ¿cuáles son las condiciones de la salvación terrestre? Y, finalmente, ¿hay una salvación divina universal para todos los hombres, incluso los peores?

Cocharacters of group graded algebras and multiplicities bounded by one

2017

Let G be a finite group and A a G-graded algebra over a field F of characteristic zero. We characterize the (Formula presented.)-ideals (Formula presented.) of graded identities of A such that the multiplicities (Formula presented.) in the graded cocharacter of A are bounded by one. We do so by exhibiting a set of identities of the (Formula presented.)-ideal. As a consequence we characterize the varieties of G-graded algebras whose lattice of subvarieties is distributive.

On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order

1987

One of the most useful theorems in classical representation theory is a result due to N. Ito, which can be stated using the classification of the finite simple groups in the following way.THEOREM (N. Ito, G. Michler). Let Irr (G) be the set of all irreducible complex characters of the finite group G and q be a prime number. Then if and only if G has a normal, abelian Sylow-q-subgroup.

A note on strong protomodularity, actions and quotients

2013

Abstract In order to study the problems of extending an action along a quotient of the acted object and along a quotient of the acting object, we investigate some properties of the fibration of points. In fact, we obtain a characterization of protomodular categories among quasi-pointed regular ones, and, in the semi-abelian case, a characterization of strong protomodular categories. Eventually, we return to the initial questions by stating the results in terms of internal actions.

Field of values and Brauer characters of q′-degree

2007

Abstract We study the existence of non-trivial real-valued (respectively rational-valued) irreducible p -Brauer characters of degree not divisible by q .

Degree problems II π - separable character degrees

1985

Nonsolvable groups with few character degrees

2005

Irreducible characters of $3'$-degree of finite symmetric, general linear and unitary groups

2018

Abstract Let G be a finite symmetric, general linear, or general unitary group defined over a field of characteristic coprime to 3. We construct a canonical correspondence between irreducible characters of degree coprime to 3 of G and those of N G ( P ) , where P is a Sylow 3-subgroup of G . Since our bijections commute with the action of the absolute Galois group over the rationals, we conclude that fields of values of character correspondents are the same.

A new character correspondence in groups of odd order

2003

Character degrees and local subgroups of 𝜋-separable groups

1998

Let G G be a finite { p , q } \{p,q \} -solvable group for different primes p p and q q . Let P ∈ Syl p ( G ) P \in \text {Syl}_{p}(G) and Q ∈ Syl q ( G ) Q \in \text {Syl}_{q}(G) be such that P Q = Q P PQ=QP . We prove that every χ ∈ Irr ( G ) \chi \in \text {Irr}(G) of p ′ p^{\prime } -degree has q ′ q^{\prime } -degree if and only if N G ( P ) ⊆ N G ( Q ) \mathbf {N}_{G}(P) \subseteq \mathbf {N}_{G}(Q) and C Q ′ ( P ) = 1 \mathbf {C}_{Q^{\prime }}(P)=1 .