Some Problems Based on the Fundamental Theorem of Group Homomorphism - Chapter 9 - Lecture 5 скачать в хорошем качестве

Some Problems Based on the Fundamental Theorem of Group Homomorphism - Chapter 9 - Lecture 5

Here, we solve two problems using the Fundamental Theorem of Group Homomorphism. In particular, we prove firstly that Z/nZ is isomorphic to Zn. Next we prove that the (R, +)/(2pi) i.e. the quotient group of additive real numbers modulo the cyclic subgroup generated by 2pi is isomorphic to the multiplicative group of unimodular complex numbers. Link for properties of Equivalence classes:    • Properties of Equivalence Classes and an I...   The aim of this channel is to provide a basic course in Group Theory and to give a near classroom experience for learning effectively. Click the link given here to subscribe to my channel:    / @grouptheorybydrssbk   Link to the previous lecture    • Fundamental Theorem of Group Homomorphism ...   Link to the next lecture    • Every infinite cyclic group is isomorphic ...   Link to the first lecture of this chapter    • Isomorphism of Groups: Definition & Exampl...