Pure Mathematics

Pure Mathematics Section-A (40- marks) I. Modern Algebra Group, subgroups, LaGrange’s theorem, Cyclic groups, Normal subgroups, Quotientgroups. Fundamental theorem of homomorphism. Isomorphism theorems of groups,Inner automorphisms. Conjugate elements, conjugate subgroups. Commutatorsubgroups.  Ring, Subrings, Integral domains, Quotient fields, Isomorphism theorems, Fieldextension and finite fields. Vector spaces, Linear independence, Bases, Dimension of a finitely generatedspace. Linear […]