Classification of Finite Abelian Groups

Related lectures (30)

Page 3 of 3

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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

Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications in cryptography.

Covers technical lemmas on abelian p-groups and maximal order elements.

Covers commutative groups and their significance in cryptography.

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

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

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.