Normal Subgroups and Quotient Groups ( Factor Groups) - Abstract Algebra | 2023

Normal Subgroups and Quotient Groups (aka Factor Groups) - Abstract Algebra | 2023
Normal subgroup Example

Normal subgroups are a powerful tool for creating factor groups (also called quotient groups). In this video we introduce the concept of a coset, talk about which subgroups are “normal” subgroups, and show when the collection of cosets can be treated as a group of their own. As a motivation, we will begin by discussing congruences by Santosh mam.

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Time Stamp :-
0:00 | An Intro
0:12 | Topic Introduction
0:52 | Example of normal subgroup
3:38 | 2nd Example of normal subgroup
9:53 | 3rd Example of normal subgroup
13:03 | 4th Example of normal subgroup
17:27 | Quotient Group ( Factor Group)
19:58 | Example of Quotient group ( Factor group)
22:42 | Every Quotien Group of an abelian group is abelian
24:26 | Every Quotien group of a cyclic group is cyclic

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