Resoluble Groups: Quotients of Group

Related lectures (30)

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

Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.

Explores group operations with cyclic properties and the universal ownership of quotients.

Presents the Lemma of the Five, a fundamental result in group theory.

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

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

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

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

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

Covers abelian groups, Sylow subgroups, and variants on beta action.