Lagrange Theorem: Equivalence Relations

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Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.

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

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

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