On composition factors and NS-supplemented subgroups

2021 ◽  
pp. 1-6
Author(s):  
Jinlian Wu ◽  
Tingting Qiu ◽  
Jia Zhang
Keyword(s):  
Author(s):  
Débora Godoy-Izquierdo ◽  
Raquel Lara ◽  
Adelaida Ogallar ◽  
Alejandra Rodríguez-Tadeo ◽  
María J. Ramírez ◽  
...  

This study explored intraindividual multidimensional profiles integrating psychosocial factors, namely, body image and satisfaction, weight-related self-stigma, positivity, and happiness, and behavioural-lifestyle factors, namely, adherence to a healthy diet, among Spanish adults with overweight or obesity. We further aimed to investigate the association of excess weight (i.e., measured body mass index, BMI) with the abovementioned multidimensional configurations. A convenience sample of 100 adult individuals (60% females) with excessive weight (69% overweight; 31% obesity) was recruited. They completed self-reports regarding the study variables, and their weight and height were measured. With a perspective centered on the individual, a cluster analysis was performed. Three distinct intraindividual psychosocial and diet-related profiles were identified: a group of healthy individuals with excess weight (46%); a group of individuals who were negatively affected by their excessive weight and showed the most distressed profile (18%); and a group of dysfunctional individuals who seemed to be excessively unrealistic and optimistic regarding their excessive weight and unhealthy lifestyles, but were troubled by their weight (36%). Furthermore, individuals in the affected cluster had higher obesity (mean BMI ± SD = 32.1 ± 3.7) than those in the clusters of healthy (28.0 ± 3.0) and dysfunctional individuals (28.1 ± 3.3) (p < 0.05). The results showed that there are specific psychosocial and lifestyle profiles in the adult population with excess weight and that there are relationships among psychological, behavioural, and body-composition factors. For clinical application purposes, it is important to account for the heterogeneity within individuals who are obese and to individualize the interventions, with a focus from weight change to the individual’s overall well-being.


Bone ◽  
2010 ◽  
Vol 47 ◽  
pp. S175-S176
Author(s):  
J.M. Lavado-Garcia ◽  
J.M. Moran ◽  
M.J. Lopez-Rodriguez ◽  
C. Costa-Fernandez ◽  
M.L. Canal-Macias ◽  
...  

2013 ◽  
Vol 89 (2) ◽  
pp. 234-242 ◽  
Author(s):  
DONALD W. BARNES

AbstractFor a Lie algebra $L$ over an algebraically closed field $F$ of nonzero characteristic, every finite dimensional $L$-module can be decomposed into a direct sum of submodules such that all composition factors of a summand have the same character. Using the concept of a character cluster, this result is generalised to fields which are not algebraically closed. Also, it is shown that if the soluble Lie algebra $L$ is in the saturated formation $\mathfrak{F}$ and if $V, W$ are irreducible $L$-modules with the same cluster and the $p$-operation vanishes on the centre of the $p$-envelope used, then $V, W$ are either both $\mathfrak{F}$-central or both $\mathfrak{F}$-eccentric. Clusters are used to generalise the construction of induced modules.


Author(s):  
Mohammad N. Abdulrahim ◽  
Nibal H. Kassem

We consider Wada's representation as a twisted version of the standard action of the braid group,Bn, on the free group withngenerators. Constructing a free group,Gnm, of ranknm, we compose Cohen's mapBn→Bnmand the embeddingBnm→Aut(Gnm)via Wada's map. We prove that the composition factors of the obtained representation are one copy of Burau representation andm−1copies of the standard representation after changing the parameterttotkin the definitions of the Burau and standard representations. This is a generalization of our previous result concerning the standard Artin representation of the braid group.


2021 ◽  
Vol 31 (01) ◽  
pp. 201-204
Author(s):  
Alexander Bors

We discuss two corrections concerning the paper mentioned in the title. One of them pertains to a slight error in a statement from a different paper that was used. For this statement, it is explained how to fix it and why this does not affect the correctness of our results. The other is concerned with an error in the original GAP source code used to verify some of our results. This error, which was subsequently fixed, did affect the correctness of one of our main theorems, which is now given in corrected (and stronger) form.


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