Finitely Generated Abelian Groups

Related lectures (29)

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

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

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

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

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

Covers the definition of solvable groups and the abelian property of group quotients.

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

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

Explores isometries, group homomorphisms, linear transformations, and group generation by similarities.