Search results for " table"

Automatisation des tableaux de bord et cohérence des comportements

2007

International audience; Cet article a pour objet de s'interroger sur les rapports entre l'automatisation des tableaux de bord et la cohérence des comportements. Il ressort de l'étude de deux cas, celui d'une entreprise industrielle et celui d'une banque, que l'augmentation de la formalisation ne crée pas davantage de rigidité mais produit au contraire plus de dynamique ou de continuité et de permanence. Cependant, les résultats montrent aussi la limite d'une gestion automatique de la cohérence dans la mesure où la production des informations nécessaires à l'adaptation à long terme de la firme semble difficilement automatisable.

Groups with a small average number of zeros in the character table

2021

Abstract We classify finite groups with a small average number of zeros in the character table.

On the number of zeros in the columns of the character table of a group

2004

Sylow normalizers and character tables, II

2002

Suppose thatG is a finitep-solvable group and letPe Syl p (G). In this note, we prove that the character table ofG determines ifN G(itP)/P is abelian.

BOUNDING THE NUMBER OF IRREDUCIBLE CHARACTER DEGREES OF A FINITE GROUP IN TERMS OF THE LARGEST DEGREE

2013

We conjecture that the number of irreducible character degrees of a finite group is bounded in terms of the number of prime factors (counting multiplicities) of the largest character degree. We prove that this conjecture holds when the largest character degree is prime and when the character degree graph is disconnected.

Central Units, Class Sums and Characters of the Symmetric Group

2010

In the search for central units of a group algebra, we look at the class sums of the group algebra of the symmetric group S n in characteristic zero, and we show that they are units in very special instances.

Periodic Solutions of the Second Order Quadratic Rational Difference Equation $$x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}} $$ x n + 1 = α ( 1 + x n ) x n…

2016

The aim of this article is to investigate the periodic nature of solutions of a rational difference equation $$x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}}. {(*)} $$ We explore Open Problem 3.3 given in Amleh et al. (Int J Differ Equ 3(1):1–35, 2008, [2]) that requires to determine all periodic solutions of the equation (*). We conclude that for the equation (*) there are no periodic solution with prime period 3 and 4. Period 7 is first period for which exists nonnegative parameter \(\alpha \) and nonnegative initial conditions.

The minimal number of characters over a normal p-subgroup

2007

Abstract If N is a normal p-subgroup of a finite group G and θ ∈ Irr ( N ) is a G-invariant irreducible character of N, then the number | Irr ( G | θ ) | of irreducible characters of G over θ is always greater than or equal to the number k p ′ ( G / N ) of conjugacy classes of G / N consisting of p ′ -elements. In this paper, we investigate when there is equality.

Finite Group Elements where No Irreducible Character Vanishes

1999

AbstractIn this paper, we consider elements x of a finite group G with the property that χ(x)≠0 for all irreducible characters χ of G. If G is solvable and x has odd order, we show that x must lie in the Fitting subgroup F(G).

Real constituents of permutation characters

2022

Abstract We prove a broad generalization of a theorem of W. Burnside about the existence of real characters of finite groups to permutation characters. If G is a finite group, under the necessary hypothesis of O 2 ′ ( G ) = G , we can also give some control on the parity of multiplicities of the constituents of permutation characters (a result that needs the Classification of Finite Simple Groups). Along the way, we give a new characterization of the 2-closed finite groups using odd-order real elements of the group. All this can be seen as a contribution to Brauer's Problem 11 which asks how much information about subgroups of a finite group can be determined by the character table.