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Related lectures (52)

Linear Representations: Basics and Examples Log in to Mediaspace to watch this video

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Finitely Generated Abelian Groups Log in to Mediaspace to watch this video

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

Finite Abelian Groups Log in to Mediaspace to watch this video

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Abelian p-groups: Groupes abéliens Log in to Mediaspace to watch this video

Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Universal Property of Groups Log in to Mediaspace to watch this video

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

Group Theory: Active Learning Session Log in to Mediaspace to watch this video

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

Hom Functor: Abelian Groups Log in to Mediaspace to watch this video

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

Symmetric Group: Cycle Notation Log in to Mediaspace to watch this video

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

Direct Sums Arithmetic Log in to Mediaspace to watch this video

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Sylow Subgroups: Group Theory Log in to Mediaspace to watch this video

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Group Theory Basics Log in to Mediaspace to watch this video

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Categorical Perspective: Group Quotients Log in to Mediaspace to watch this video

Explores the categorical sense of constructing a group quotient by a normal subgroup, showing it as a specific example of a more general construction.

Fundamental Solutions Log in to Mediaspace to watch this video

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Groupes résolubles Log in to Mediaspace to watch this video

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

Privacy-preserving authentication Log in to Mediaspace to watch this video

Explores privacy-preserving authentication methods, zero-knowledge proofs, Schnorr's proof of identification, and their real-world applications.

Group Operations and Homomorphisms in Abelian Groups Log in to Mediaspace to watch this video

Explores operations on abelian groups, Homomorphisms, adjoints, and morphisms in group theory.

Group Theory: Quotients of Group Log in to Mediaspace to watch this video

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Group Homomorphisms Log in to Mediaspace to watch this video

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.

Linear Transformations: Matrices and Applications Log in to Mediaspace to watch this video

Explores linear transformations, matrices, surjective, injective, and bijective properties, symmetric transformations, and matrix equivalence.

Finite Fields and Group Theory Log in to Mediaspace to watch this video

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

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