Search results for "Subgroup"

A generalization to Sylow permutability of pronormal subgroups of finite groups

2020

[EN] In this note, we present a new subgroup embedding property that can be considered as an analogue of pronormality in the scope of permutability and Sylow permutability in finite groups. We prove that finite PST-groups, or groups in which Sylow permutability is a transitive relation, can be characterized in terms of this property, in a similar way as T-groups, or groups in which normality is transitive, can be characterized in terms of pronormality.

Distribution of the bilbo Non-LTR Retrotransposon in Drosophilidae and its Evolution in the Drosophila obscura Species Group

2001

The bilbo element is a non-LTR retrotransposon isolated from Drosophila subobscura. We conducted a distribution survey by Southern blot for 52 species of the family Drosophilidae, mainly from the obscura and melanogaster groups. Most of the analyzed species bear sequences homologous to bilbo from D. subobscura. In the obscura group, species from the same species subgroup also share similar Southern blot patterns. To investigate the phylogenetic relationship among these elements, we analyzed eight copies of a short sequence of the element from several species of the obscura group. The obtained phylogram agrees with the phylogeny of the species, which suggests vertical transmission of the ele…

Ambulatory treatment of low-risk pulmonary embolism in fragile patients: a subgroup analysis of the multinational Home Treatment of Pulmonary Embolis…

2020

Pulmonary embolism is the third most frequent acute cardiovascular disease with an annual incidence of approximately 100 cases per 100 000 population and an annual mortality of ≥7 deaths per 100 000 population in the European region [1, 2]. Initial management is adjusted to the risk of in-hospital death or early complications, which depend both on the severity of pulmonary embolism and the presence of comorbidities [3]. Footnotes This manuscript has recently been accepted for publication in the European Respiratory Journal . It is published here in its accepted form prior to copyediting and typesetting by our production team. After these production processes are complete and the authors hav…

Tratamiento hipolipemiante en los pacientes con enfermedad cardiovascular de riesgo muy elevado. Documento de consenso SEC sobre las indicaciones de …

2021

Different primary and secondary prevention studies have documented that a greater degree of reduction in low-density lipoprotein cholesterol (LDL-C) levels is associated with a greater decrease in cardiovascular event rates. PCSK9 inhibitors achieve important, rapid and sustained decreases in LDL-C. New clinical practice guidelines for the management of dyslipidemia establish reduced target levels of LDL-C. These goals are hardly achievable with a statin-only treatment, even in combination with ezetimibe. The addition of PCSK9 inhibitors can play a determining role in achieving these recommendations. However, it is important to identify the patient subgroups that can most benefit from this …

Maximal subgroups and formations

1989

Abstract We define, in each finite group G , some subgroups of Frattini-type in relation with a saturated formation and with a set of primes and study their properties, especially their influence in the structure of G .

A generalization of groups with many almost normal subgroups

2010

A subgroup $H$ of a group $G$ is called almost normal in $G$ if it has finitely many conjugates in $G$. A classic result of B. H. Neumann informs us that $|G : Z(G)|$ is finite if and only if each $H$ is almost normal in $G$. Starting from this result, we investigate the structure of a group in which each non- finitely generated subgroup satisfies a property, which is weaker to be almost normal.

Wielandt's results for algebraic k-groups

2006

We analyze the relation between subnormality and nilpotence, the subnormal joint property, some criteria of subnormality, the norm and the Wielandt subgroup in the case of algebraic groups defined over an arbitrary field.

Subgroup S-commutativity degrees of finite groups

2012

Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell–Yan scattering

2020

We study a K3 surface, which appears in the two-loop mixed electroweak-quantum chromodynamic virtual corrections to Drell--Yan scattering. A detailed analysis of the geometric Picard lattice is presented, computing its rank and discriminant in two independent ways: first using explicit divisors on the surface and then using an explicit elliptic fibration. We also study in detail the elliptic fibrations of the surface and use them to provide an explicit Shioda--Inose structure. Moreover, we point out the physical relevance of our results.

A note on finite PST-groups

2007

[EN] A finite group G is said to be a PST-group if, for subgroups H and K of G with H Sylow-permutable in K and K Sylow-permutable in G, it is always the case that H is Sylow-permutable in G. A group G is a T*-group if, for subgroups H and K of G with H normal in K and K normal in G, it is always the case that H is Sylow-permutable in G. In this paper, we show that finite PST-groups and finite T*-groups are one and the same. A new characterisation of soluble PST-groups is also presented.