Lectures related to Group Theory: Actions and Stabilizers

Explores group actions on sets, orbits, fixed points, and classic results.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Explores group actions, fixed points, orbits, Equation of Class, and Burnside's Lemma.

Explores the class equation and Burnside's lemma in group theory.

Covers abelian groups, Sylow subgroups, and variants on beta action.

Covers fixed points, orbits, and stabilizer subgroups in group actions.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Explores subsets and subgroups related to group actions on sets.

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

Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.