Abelianization of Fundamental Group

This lecture covers examples of abelianization, such as ZxZ, and the quaternion group. It introduces the concept of abelianization, proving that the abelianization of the quaternion group is isomorphic to Z^2. The lecture then discusses the construction of a homomorphism and its properties, leading to the definition of the quotient group. It demonstrates the isomorphism of the constructed homomorphism and verifies the order of elements. The lecture concludes by confirming the isomorphism and the correct definition of generators' images.