A subgroup H of a finite group G is said to be W -S-permutable in G if there is a subgroup K of G such that G = HK and H ∩K is a nearly S-permutable subgroup of G. In this article, we analyse the structure of a finite group G by using the properties of W -S-permutable subgroups and obtain some new characterizations of finite p-nilpotent groups and finite supersolvable groups. Some known results...

This article computes the number of fuzzy subgroups of symmetric group S4 and constructs some of them. First, an equivalence relation on the set of all fuzzy subgroups of a group G is defined. The diagram of subgroups lattice of S4 is used to determine the number of fuzzy subgroups of S4. We find the total number of fuzzy subgroups of S4 is 220. Mathematics Subject Classification: 20B30, 20B35,...

In this note, we obtain some criteria for p-supersolvablity of a finite group and extend some known results concerning weakly S-semipermutable subgroups. Mathematics Subject Classification (2010). 20D10.

we discuss whether finiteness properties of a profinite group $g$ can be deduced from the coefficients of the probabilisticzeta function $p_g(s)$. in particular we prove that if $p_g(s)$ is rational and all but finitely many non abelian composition factors of $g$ are isomorphic to $psl(2,p)$ for some prime $p$, then $g$ contains only finitely many maximal subgroups.

In this paper, we have focused to study convex $L$-subgroups of an $L$-ordered group. First, we introduce the concept of a convex $L$-subgroup and a convex $L$-lattice subgroup of an $L$-ordered group and give some examples. Then we find some properties and use them to construct convex $L$-subgroup generated by a subset $S$ of an $L$-ordered group $G$ . Also, we generalize a well known result a...

We study the definability of certain subgroups of a group G that does not have the independence property. If a (type) definable subset X of an elementary extension G of G has property P , we call its trace X∩G over G an externally (type) definable P set. We show the following. Centralisers of subsets of G are externally definable subgroups. Cores of externally definable subgroups and iterated c...

submitted to different surface treatments. Forty-eight maxillary canines had their crowns sectioned and root canals endodontically treated. The roots were embedded in acrylic resin and distributed into 3 groups according to the surface treatment: Group I: the posts were treated with silane agent for 30 s and adhesive; Group II: the posts were cleaned with alcohol before treatment with silane ag...

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...