Group Theory: Combinatorial Approach

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Related lectures (29)

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Local structure of totally disconnected locally compact groups III

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Categorical Perspective: Abelian Groups

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

Endomorphisms and automorphisms of totally disconnected locally compact groups V

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.

Sylow Subgroups: Structure and Properties

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Group Theory: Active Learning Session

Delves into group theory, emphasizing the centralizer of elements and the classification of finite abelian groups.

Homomorphism of Groups: Signature

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

The Role of Symmetries

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Existence of Direct Sums: Abelian Groups

Demonstrates the existence of direct sums of abelian groups and covers propositions and proofs related to their uniqueness.

Group Actions: Theory and Examples

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