Lectures related to Group Theory: Direct Sum of Abelian Groups

Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.

Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Explores the direct sum of abelian groups, emphasizing bijections and uniqueness.

Introduces Lemma 1.14 for finite sets in Ab and discusses notations and properties of direct sums.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.

Introduces the basics of group theory, including operations, properties, and Lie groups.

Explores direct sums in abelian groups, emphasizing existence and uniqueness.