Abelian Groups: First Approach

Related lectures (30)

Covers the proof of the Classification Theorem for finite abelian groups, demonstrating the existence of a decomposition into cyclic groups.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Explores the beautiful properties of the p-Sylow subgroups of a finite group.

Focuses on demonstrating properties using Lemma 3.4 in group theory.

Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.

Explores the proof of the existence of Sylow subgroups in group theory.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

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

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