Pure Mathematics CSS Syllabus
Pure Mathematics (100 Marks) Section-A (40- marks) I. Modern Algebra Group, subgroups, Lagranges theorem, Cyclic groups, Normal subgroups, Quotient groups. Fundamental theorem of homomorphism. Isomorphism theorems of groups, Inner automorphisms. Conjugate elements, conjugate subgroups. Commutator subgroups. Ring, Subrings, Integral domains, Quotient fields, Isomorphism theorems, Field extension and finite fields. Vector spaces, Linear independence, Bases, Dimension…