Search results for "CADA"
showing 10 items of 1418 documents
On X-saturated formations of finite groups
2005
[EN] In the paper, a Frattini-like subgroup associated with a class X of simple groups is introduced and analysed. The corresponding X-saturated formations are exactly the X-local ones introduced by Förster. Our techniques are also very useful to highlight the properties and behaviour of omega-local formations. In fact, extensions and improvements of several results of Shemetkov are natural consequences of our study.
On a class of supersoluble groups
2014
A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with every Sylow q-subgroup of G for all primes q not dividing |H|. A finite group G is an MS-group if the maximal subgroups of all the Sylow subgroups of G are S-semipermutable in G. The aim of the present paper is to characterise the finite MS-groups.
Primitive subgroups and PST-groups
2014
AbstractAll groups considered in this paper are finite. A subgroup $H$ of a group $G$ is called a primitive subgroup if it is a proper subgroup in the intersection of all subgroups of $G$ containing $H$ as a proper subgroup. He et al. [‘A note on primitive subgroups of finite groups’, Commun. Korean Math. Soc. 28(1) (2013), 55–62] proved that every primitive subgroup of $G$ has index a power of a prime if and only if $G/ \Phi (G)$ is a solvable PST-group. Let $\mathfrak{X}$ denote the class of groups $G$ all of whose primitive subgroups have prime power index. It is established here that a group $G$ is a solvable PST-group if and only if every subgroup of $G$ is an $\mathfrak{X}$-group.
Graphs and classes of finite groups
2013
[EN] There are different ways to associate to a finite group a certain graph. An interesting question is to analyse the relations between the structure of the group, given in group-theoretical terms, and the structure of the graph, given in the language of graph theory. This survey paper presents some contributions to this research line.
Fitting classes and products of totally permutable groups
2002
The second and third authors have been supported by Proyecto PB 97-0674-C02-02 of DGESIC, Ministerio de Educación y Cultura, Spain.
On finite products of groups and supersolubility
2010
Two subgroups X and Y of a group G are said to be conditionally permutable in G if X permutes with Y(g) for some element g E G. i.e., XY(g) is a subgroup of G. Using this permutability property new criteria for the product of finite supersoluble groups to be supersoluble are obtained and previous results are recovered. Also the behaviour of the supersoluble residual in products of finite groups is studied.
On conditional permutability and saturated formations
2011
Two subgroups A and B of a group G are said to be totally completely conditionally permutable (tcc-permutable) in G if X permutes with Yg for some g ¿ ¿X, Y¿ for all X ¿ A and Y ¿ B. We study the belonging of a finite product of tcc-permutable subgroups to a saturated formation of soluble groups containing all finite supersoluble groups. © 2011 Edinburgh Mathematical Society.
Nilpotent-like fitting formations of finite soluble groups
2000
[EN] In this paper the subnormal subgroup closed saturated formations of finite soluble groups containing nilpotent groups are fully characterised by means of extensions of well-known properties enjoyed by the formation of all nilpotent groups.
Le renforcement en trompe-l’œil du droit d’accès aux documents administratifs. Note sur CE, 8 févr. 2023, n° 452521, Ville de Paris
2023
Sous réserve des dispositions de l’article L. 311-6 du code des relations entre le public et l’administration qui protègent notamment la vie privée, le secret médical et le secret des affaires en prévoyant l’occultation de certaines mentions, des notes de frais et reçus de déplacements ainsi que des notes de frais de restauration et reçus de frais de représentation d’élus locaux ou d’agents publics constituent des documents administratifs, communicables à toute personne qui en fait la demande. La Ville de Paris ne pouvait donc s’opposer à leur communication au demandeur. Le présent arrêt précise la portée du droit d’accès aux documents administratifs en confirmant que les notes de frais et …
Monitoring multidimensional phenomena with a multicriteria composite performance interval approach
2021
[EN] In the last two decades, the construction of composite indicators to measure and compare multidimensional phenomena in a broad spectrum of domains has increased considerably. Different methodological approaches are used to summarise huge datasets of information in a single figure. This paper proposes a new approach that consists in computing a multicriteria composite performance interval based on different aggregation rules. The suggested approach provides an additional layer of information as the performance interval displays a lower bound from a non-compensability perspective, and an upper bound allowing for full-compensability. The outstanding features of this proposal are: 1) a dis…