Group Actions on Sets

Related lectures (31)

Page 2 of 4

Covers the main rules of counting for combinatorial objects and introduces various counting techniques.

Explores two definitions of group action and their equivalence through bijection in group homomorphisms.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.

Covers group actions, bijections, evaluations, translations, homomorphisms, and inverses within universal actions.

Covers special cases in group theory, focusing on group actions and functors.

Covers the first isomorphism theorem in group theory and its applications.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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