Subgroups - Algebra | Bsc 2nd year | Definition & Examples | Theorem 1
Theorem : a non empty subset H of group G is a subgroup iff
ab^-1 ∈ H for all a, b ∈ H
This is the 1st lecture on Subgroups....
previous chapter is "Groups" and their lectures are available on channel playlist "Algebra" ...
In this video the following topics /statements are covered
1. Definition and meaning of subgroup.
2. Notation of Subgroup.
3. Examples of Subgroups
4. Trivial or improper subgroups.
5. Theorem : a non empty subset H of group G is a subgroup iff
ab^-1 ∈ H for all a, b ∈ H
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Topics :
0:00 Introduction
0:14 Meaning and Definition of Subgroup
1:55 Notation of Subgroup
2:49 Note (Trivial or improper subgroups)
4:55 Examples
8:30 Theorem with proof and full explanation
