Homomorphism of Groups: Signature

Related lectures (30)

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

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

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

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Covers special cases in group theory, focusing on group actions and functors.

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

Explores exact sequences of abelian group homomorphisms and provides examples.

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

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