Lectures related to Multiplicative group of integers modulo n

Introduces number theory and its essential applications in cryptography.

Introduces characters as group homomorphisms from linear algebraic groups to multiplicative groups.

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Covers linear algebraic groups, including special sets and matrix examples.

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

Explores random number generators, from true random numbers to pseudo random algorithms, including the modulo generator and advanced techniques.