COSETS of a Subgroup | Group Theory Lecture 10 (II) by Dubey Sir | CSIR NET Math | IIT JAM Math

In Lecture 10 (Part II) of the Group Theory series, Dubey Sir explores the Cosets of a Subgroup. This lecture breaks down key concepts, provides step-by-step explanations, and showcases real-world applications in mathematics and cryptography. Whether you're preparing for CSIR NET, IIT JAM, or GATE, or just strengthening your algebraic foundation, this video is a must-watch!

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𝗟𝗲𝗰𝘁𝘂𝗿𝗲: 10 (Part 02)

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📚 Topics Covered:
1. Coset of a Subgroup
2. Properties of Coset
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This video is about;
define coset of a subgroup
What exactly is a coset?
What are the properties of grouping?
What are the properties of sub group?
Cosets and Lagrange's theorem
Difference between coset and subgroup
What are the five properties of groups?
What are the basic properties of group theory?
Are cosets groups? - Group Theory
examples of cosets in group theory
Cosets in Mathematics
What is a normal subgroup?
What is normal subgroup and cosets?
What are the properties of a subgroup?
Definition & Examples of Cosets
Properties of Cosets
Group
Subgroup
quotient group
Subset of a group
Index of a subgroup
One-Step Subgroup Test
Two-Step Subgroup Test
Finite subgroup Test
Subgroup Test Examples
One-step subgroup test example
Subgroup generated by a set
Subgroup generated by a subset
Subgroup generated by an element, for example
Normal subgroup generated by an element
order of a group and order of an element
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