Lectures related to Symmetries in Regular Polygons

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

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

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

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

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.

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Explores the modern definition of symmetry and its practical applications.