Annamalai University MSc Mathematics Exam Paper

Will you please provide the Question Paper of Annamalai University MSc Mathematics exam ?

[Raman Vij]

Here is the list of few questions of Annamalai University MSc Mathematics Exam Sample Question Paper which you are looking for .

11. (a) Show that that I (G) ≅ where I(G) is
the group of inner automorphism of G and
Z is the center of G.
(b) State and prove third part of Sylow’s
theorem.

12. (a) State and prove Fundamental Theorem on
homomorphism for ring theory.
(b) State and prove Gauss lemma.

13. (a) If A and B are subspaces of V, prove that
(A + B) / B is isomorphic to A/ A∩ B.
(b) Show that if V is finite dimensional inner
product space and W is a subspace of V,
then V = W ⊕ W⊥.

14. (a) Let f(x) ∈ F(x) be of degree n ≥ 1. Show
that there is an extension E of F of degree
atmost n! in which f(x) has n roots.

Annamalai University MSc Mathematics Exam Question Paper