let $g$ be a $p$-group of order $p^n$ and $phi$=$phi(g)$ be the frattini subgroup of $g$. it is shown that the nilpotency class of $autf(g)$, the group of all automorphisms of $g$ centralizing $g/ fr(g)$, takes the maximum value $n-2$ if and only if $g$ is of maximal class. we also determine the nilpotency class of $autf(g)$ when $g$ is a finite abelian $p$-group.

Dans cet article, nous montrons comment certaines pratiques de Maximal Extractable Value (MEV) qui conduisent à l’accaparement, par certains acteurs des réseaux blockchains, la valeur produite d’autres utilisateurs s’apparentent du parasitisme (freeriding). Nous que ces comportements passagers clandestins d’un nouveau genre sont rendus possible conception algorithmique et économique blockchains...

BACKGROUND Studies on the behavior of respiratory muscle strength (RMS) in morbidly obese patients have found conflicting results. OBJECTIVES To evaluate RMS in morbidly obese women and to compare the results by using different predictive equations. METHOD This is a cross-sectional study that recruited 30 morbidly obese women and a control group of 30 normal-weight women. The subjects under...