Active Learning: Group Homomorphisms

Related lectures (31)

Page 3 of 4

Covers Lagrange's theorem, group homomorphisms, congruence classes, and normal subgroups.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

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

Explores the symmetric group, emphasizing cycle notation and group properties.

Covers explicit calculations of push-outs in Ens and the study of induced homomorphisms between quotient groups.

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

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

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

Explores two definitions of group action on a set, focusing on properties and applications.

Covers homomorphisms between affine varieties, birational maps, regular groups, and connectedness.