Algebraic Structures: Small Order Groups

Related lectures (30)

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Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Explores direct products in group theory, including semi-direct products and group properties.

Covers commutative groups and their significance in cryptography.

Covers Euler's totient function, group theory, homomorphisms, and group isomorphisms.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Explores isomorphic groups, bijective morphisms, and their applications in group theory.