Two Definitions of Group Action

Related lectures (31)

Page 2 of 4

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

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

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

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

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Explores isometries, group homomorphisms, linear transformations, and group generation by similarities.

Explores direct products in group theory, including semi-direct products and group properties.

Explores the Hom functor for abelian groups and its relation to direct sums.

Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.