Lectures related to Symmetries in Regular Polygons

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

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

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

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Explores the modern definition of symmetry and its practical applications.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores subsets and subgroups related to group actions on sets.

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

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

Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.

Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.