Lectures related to Mathematical Parenthesis on Groups and Lagrange Theorem

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Covers GCD, LCM, and the Euclidean algorithm for efficient computation of GCD.

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.