a subgroup $h$ is said to be $s$-permutable in a group $g$‎, ‎if‎ ‎$hp=ph$ holds for every sylow subgroup $p$ of $g$‎. ‎if there exists a‎ ‎subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every‎ ‎sylow subgroup of $b$‎, ‎then $h$ is said to be $ss$-quasinormal in‎ ‎$g$‎. ‎in this paper‎, ‎we say that $h$ is a weakly $ss$-quasinormal‎ ‎subgroup of $g$‎, ‎if there is a normal subgroup ...

a subgroup $h$ is said to be $s$-permutable in a group $g$‎, ‎if‎ ‎$hp=ph$ holds for every sylow subgroup $p$ of $g$‎. ‎if there exists a‎ ‎subgroup $b$ of $g$ such that $hb=g$ and $h$ permutes with every‎ ‎sylow subgroup of $b$‎, ‎then $h$ is said to be $ss$-quasinormal in‎ ‎$g$‎. ‎in this paper‎, ‎we say that $h$ is a weakly $ss$-quasinormal‎ ‎subgroup of $g$‎, ‎if there is a normal subgroup ...

In this article, we investigate the structure of a finite group G under the assumption that some subgroups of G are c-normal in G. The main theorem is as follows: Theorem A. Let E be a normal finite group of G. If all subgroups of Ep with order dp and 2dp (if p = 2 and Ep is not an abelian nor quaternion free 2-group) are c-normal in G, then E is p-hypercyclically embedded in G. We give some ap...

A subgroup H is said to be s-permutable in a group G, if HP = PH holds for every Sylow subgroup P of G. If there exists a subgroup B of G such that HB = G and H permutes with every Sylow subgroup of B, then H is said to be SS-quasinormal in G. In this paper, we say that H is a weakly SS-quasinormal subgroup of G, if there is a normal subgroup T of G such that HT is s-permutable and H ∩ T is SS-...

In this note, we extend the concept of Π-property of subgroups of finite groups and generalize some recent results. In particular, we generalize the main results of Li et al. [p-Hypercyclically embedding and Π-property of subgroups of finite groups, Comm. Algebra 45(8)(2017), 3468–3474] and Miao et al. [On the supersoluble hypercentre of a finite group, Monatsh. Math. (2016)]. Mathematics Subje...

a novel zinc oxide - agar nanocomposite was successfully synthesized using zinc chloride as a precursor. the nanocomposite was prepared using a domestic microwave oven. the prepared nanocomposites have been characterized by fourier transform infrared (ftir) spectroscopy, x-ray diffraction (xrd) analysis, scanning electron microscopy (sem) and uv- visible spectroscopy. the crystalline properties...

objective: in this article, a numerical study is conducted on mixing of two fluids in the liquid phase with two different concentrations of a chemical species in the electro-osmotic flow. methods: the base liquid is an electrolyte which flows in a two-dimensional micro-channel having electrically charged walls. lorentz electric force, which is used as stimulating flow factor, is created by appl...