The contents of the paper are to appear in book form shortly [4]and it has been given in the author's lectures at Abdus Salam School of Math Sci.GC Univ.Lahore,Pakistan in Feb.,2011.We mean by the exhaustion princ...The contents of the paper are to appear in book form shortly [4]and it has been given in the author's lectures at Abdus Salam School of Math Sci.GC Univ.Lahore,Pakistan in Feb.,2011.We mean by the exhaustion principle that in a certain way,there is a rule which exhaust all the elements of a system,i.e.,a sort of classification.We shall illustrate this principle by significant examples.Since our examples are related to groups,the exhaustion is mostly of the form of a disjoint union of subsets Hd(dn) exhausting the whole group G:G=∪dnHd(disjoint).展开更多
文摘The contents of the paper are to appear in book form shortly [4]and it has been given in the author's lectures at Abdus Salam School of Math Sci.GC Univ.Lahore,Pakistan in Feb.,2011.We mean by the exhaustion principle that in a certain way,there is a rule which exhaust all the elements of a system,i.e.,a sort of classification.We shall illustrate this principle by significant examples.Since our examples are related to groups,the exhaustion is mostly of the form of a disjoint union of subsets Hd(dn) exhausting the whole group G:G=∪dnHd(disjoint).