We shall say that an automorphism a is nilpotent or acts nilpotently on a group G if in the holomorph H= [G](a) of G with a, a is a bounded left Engel element, that is, [H, ¿a] = l for some natural number ¿. Here [H, ka] means [H, (k — l)a] with [H, Oa] denoting H. Let G' denote the commutator subgroup [G, G], and let $(G) denote the Frattini subgroup of G. If a is an automorphism of a nilpoten...

Replacement of cement with supplementary cementitious materials (SCMs) is a proven method to reduce clinker in and contribute decreased CO2 emissions. Natural clays are commonly occurring that do not possess pozzolanic activity their original state. Mechanochemical activation (MCA) can be an alternative sustainable enhance reactivity. In this study, the reactivity three natural clays, originati...

Modular towers, a notion due to M. Fried, are towers of Hurwitz spaces, with levels corresponding to the characteristic quotients of the p-universal Frattini cover of a fixed finite group G (with p a prime divisor of |G|). The tower of modular curves X1(pn) (n>0) is the original example: the group G is then the dihedral group Dp. There are diophantine conjectures on modular towers, inspired by ...

Let p be a prime, P a finite non-cyclic p-gvoup and (xd)Q>(P) of the factor group P/$(P), and the map 61-+B is a homomorphism from the automorphism group Aut P of P to the automorphism group of P/$(P). When P/O(P) is regarded as a vector space over the field of order p, the restric...

Treating spent pot lining by the Low Caustic Leaching and Liming (LCLL) process creates an inert non-hazardous residue called LCLL Ash. Ground as a fine powder calcined, Ash showed pozzolanic behavior in cement. The effect of calcination temperatures on reactivity was studied compressive strength activity index, Frattini tests, RILEM R 3 followed XRD analysis. When calcinating at below 800 °C, ...

this research was based on primary data collected through well designed and pre-tested questionnaire, to determine awareness of farmers on extension methods used by adp in kano state of nigeria. multistage sampling technique was used, in which three local governments were randomly selected. secondly, three wards one each from the selected local governments (danbatta, gaya and madobi) were rando...

present study was conducted in the three provinces of pakistan with the objectives to study the curricula relevancy with the participatory extension, supervision and administration and its practical applicability at the field level. for this extension agents of the selected provinces were selected purposively. mail questionnaire were used as instruments for data collection form 227 respondents ...