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.

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

Covers fixed points, orbits, and stabilizers in G-varieties, including properties of closed subgroups and faithful actions.

Explores orbits in a G-ensemble, functions of fixed points, and G-equivariance.

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

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

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

Explores adjunctions, emphasizing trivial and application quotient cases in functors, orbits, and fixed points.

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Explores group actions and equivariant morphisms in group theory.