Let Γg,n, for 2g − 2 + n > 0, be the Teichmüller group of an n-punctured genus g compact Riemann surface Sg,n and let Γ(l), for a prime l ≥ 2, be the abelian level defined by the kernel of the natural representation Γg,n → Sp2g(Z/l). The pro-l completion Γ(l)(l) of Γ(l) defines a profinite completion of Γg,n, which we call the relative pro-l completion and denote by Γ (l) g,n. There is a natura...

Let p be any prime number. Let ZP and Qp denote respectively the /?-adic integer ring and the p-adic number field. The additive groups of these will be denoted by the same letters. We suppose that all algebraic number fields considered in this paper lie in the complex number field C. For each algebraic number field F, let A(F) denote the /^-primary component of the ideal class group of F, F the...

To determine the relative salt tolerance and/or resistance in seedlings of pistachio genotypes, four pot experimentswere conducted. In experiments 1 and 2, the effects of salinity on growth indices were studid. Experiments were donein the form of split plot based on RCBD. In each experiment, mainplots consisted of different electrical conductivitiesof irrigation water (ECiws). In experiment 1, ...

this experiment was conducted in order to determine the effects of different dietary growth promoters on growth performance and nutrient digestibility in male broiler chickens. a total of 360 male broiler chicks (day-old ross 308 strain) were distributed into a completely randomized design (crd) having 6 dietary treatments with four replicates and 15 birds in each replicate. experimental treatm...

We consider a natural generalization of the concept order an element in group [Formula: see text]: text] is said to have subgroup (respectively, coset text]) if first strictly positive integer such that text]). study this notion and its algorithmic properties realm free groups some related families. Both negative (algorithmic) results emerge setting. On side, among other results, we prove eleme...