Group Theory | Symmetric Group S3 & S4 | Alternating Group A3 & A4 | Order Of Element

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This video lecture of Group Theory | Permutation Group | Even & Odd Permutation | Order Of Permutation | Discrete Mathematics | Examples & Solution By Definition | Problems & Concepts by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. Theorems based on Symmetric Group S3 & S4 | Alternating Group A3 & A4,
2. What is Symmetric Group S3 and S4, How To Find Order of Element of S3 and S4 With Short Trick.
3. What Is Alternating Group A3 & A4 and How To Find Order of Element of A3 and A4 With Short Trick.
4. Examples Based On S3, S4, A3 and A4.
5. This is part of Group Theory.
#GroupTheory #Symmetric Group #Alternating Group #DiscreteMathematics #EngineeringMahemaics #BSCMaths #GATE #IITJAM #CSIRNET
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech & M.Sc./M.Tech. students also preparing NET, GATE and IIT-JAM Aspirants.
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Time Stamp
Symmetric & Alternating group
0:00 | An intro
0:18 | Topic introduction
1:57 | Permutation : Quick review
3:09 | Permutation group
5:44 | Symmetric group : Example- S3
10:54 | Note- About S3 (easy trick)
13:43 | Note- Formula for no. of r-cycles in Sn
14:53 | Alternating group
17:06 | The set of odd permutation
17:35 | Alternating group A3
19:27 | Note- Sn and An
20:24 | Permutation group S4
25:27 | Alternating group A4
28:00 | Question
30:15 | Conclusion of video

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