textbooks play a crucial role in language learning classrooms. the problem is that among the great quantity of available textbooks on the market which one is appropriate for a specific classroom and a group of learners. in order to evaluate elt textbooks, theorists and writers have offered different kinds of evaluative frameworks based on a number of principles and criteria. this study evaluate...

chapter one is devotod to collect some notion and background informations, which are needed in the next chapters. it also contains some important statements which will be proved in a more general context later in this thesis. in chapter two, we show that if the marginal factor-group is of order np1...pk,n>1, then we obtain a bound for the order of the verbal subgroup. also a bound for the bear-...