Abelian group

Related lectures (31)

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Covers the properties of commutative linear algebraic groups and their elements.

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

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

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

Covers commutative groups and their significance in cryptography.

Explores exact sequences of abelian group homomorphisms and provides examples.

Explores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.

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

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

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