Group Actions: Theory and Examples

Related lectures (31)

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

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

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

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

Explores the use of for-expressions in Scala to simplify computations and solve problems like combinatorial search and N-Queens.

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

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

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

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