Lectures related to Motivations for Studying Actions: Universal Action of Bijections

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

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

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

Explores active learning implications in understanding group structures and symmetric actions.

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

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Covers aggregation queries and sorting of results in Geographic Information Systems.

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.