Let G be a group. The orbits of the natural action \({{\,\mathrm{Aut}\,}}(G)\) on are called automorphism G, and number is denoted by \(\omega (G)\). virtually nilpotent group such that (G)< \infty \). We prove \(G = K \rtimes H\) where H torsion subgroup torsion-free radicable characteristic G. Moreover, we \(G^{'}= D \times {{\,\mathrm{Tor}\,}}(G^{'})\) subgroup. In particular, if maximum nor...

We characterise groups in which every abelian subgroup has finite index in its characteristic closure. In a group with this property every subgroup H has finite index in its characteristic closure and there is an upper bound for this index over all subgroups H of G. For every prime p we construct groups G with this property that are infinite nilpotent p-groups of class 2 and exponent p in which...

Suppose K is a local field with finite residue field of characteristic p 6= 2 and K<p(M) is its maximal p-extension such that Gal(K<p(M)/K) has period p M and nilpotent class < p. If charK = 0 we assume that K contains a primitive p -th root of unity. The paper contains an overview of methods and results describing the structure of this Galois group together with its filtration by ramification ...

Background: Duration of spinal anesthesia depends on the type of anesthetic agent, dosage and additive materials such as epinephrine, ephedrine and opioid. We compared the duration of spinal anesthesia with lidocaine 5% with or without epinephrine in addict and non-addict patients undergoing inferior limb fracture surgery. Methods: This single blinded randomized clinical trial was performed on ...

Let H be a subgroup of a finite group G. We say that H is SS-semipermutable in Gif H has a supplement K in G such that H permutes with every Sylow subgroup X of Kwith (jXj; jHj) = 1. In this paper, the Structure of SS-semipermutable subgroups, and finitegroups in which SS-semipermutability is a transitive relation are described. It is shown thata finite solvable group G is a PST-group if and on...

OBJECTIVE To identify risk factors for normal-tension glaucoma among subgroups of patients. METHODS In 93 patients with unilateral normal-tension glaucoma, intereye comparison of baseline spherical equivalent, central corneal thickness, untreated intraocular pressure, disc area, and zone beta variables was performed among the following 4 subgroups classified according to age and visual field ...

in this paper, we deal with molaei’s generalized groups. we definethe notion of a fuzzy generalized subgroup with respect to a t-norm (ort-fuzzy generalized subgroup) and give some related properties. especially,we state and prove the representation theorem for these fuzzy generalizedsubgroups. next, using the concept of continuity of t-norms we obtain a correspondencebetween tf(g), the set of ...