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Related lectures (23)

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Fundamental Groups

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

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Finitely Generated Abelian Groups

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Symmetric Group and Cycle Decomposition

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Group Theory: Basics

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

Symmetric Group and Group Actions

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.

Group Theory Basics

Covers the fundamental concepts of group theory and examples of real numbers and permutations.