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.

Nanostructured TiO2 and S and Fe co-doped TiO2 thin films with high transparency were prepared on glass substrate through ultrasonic-assisted spray pyrolysis technique. The effects of doping on morphological, optical an...

In the present work, a membrane contactor with asymmetric flat-sheet poly(vinyltrimethylsilane) (PVTMS) membranes was proposed for the CO2 desorption process from physical solvents at elevated trans-membrane pressures. Different solvents were studied: water, a mixture of polyethylene g...

In this work, different kinetic patterns (homographic, exponential-linear and exponential) of hydraulic resistance in ultrafltration process of a colloidal system have been investigated. Exponential kinetic model, as the best approach, was employed for description of dynamic hydraulic resistance of skim milk ultrafltration at different feed flow rates (FR) (10, 30 and 46 L...

Emergence of nanotechnology has resulted in the introduction of the electrospinning process in fabricating and characterising the polymer electrolyte membrane from the sulfonated poly (ether ether ketone) (SPEEK) nanocomposite membrane comprised of electrospun Cloisite15A® (e-spun CL...

Among the various phases of alumina, two phases γ and α are the most widely used in variousindustries. In this paper, γ-Al2O3 porous nanoparticles have been successfully synthesized from a s...

In this paper, we examine Decision Graphs, a generalization of decision trees. We present an inference scheme to construct decision graphs using the Minimum Message Length Principle. Empirical tests demonstrate that this scheme compares favourably with other decision tree inference schemes. This work provides a metric for comparing the relative merit of the decision tree and decision graph form...