Abélianization: Fundamental Groups

Related lectures (30)

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Explores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.

Explores cosets in commutative groups, Lagrange theorem, and integer factorization.

Covers the basics of polynomials, focusing on rings, operations, and properties.

Explains the union of sets, its properties, operations, and intersection.

Explores morphisms in group theory, focusing on proving their existence and uniqueness through mathematical reasoning.

Explores the properties of commutative rings and integral domains in algebra.

Explains equivalence in linear algebra and set calculations with illustrative examples.

Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

Covers principal ideals, ring homomorphisms, and more in commutative rings and fields.