Group Theory: Verification

Related lectures (31)

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Explores free abelian groups, homomorphisms, exact sequences, and functors in group theory.

Explores Cayley tables, group operations, homomorphisms, Lie groups, and differentiable groups.

Explores exact sequences of abelian group homomorphisms and provides examples.

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

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.

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

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.

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

Introduces subgroups and homomorphisms in group theory, with examples for illustration.