Lectures related to Monster Group Construction

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Covers the ring of polynomials, focusing on coefficients and multiplication.

Covers the precise description of the relative positioning of objects in space.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

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

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.