If a is a element of group G prove it's normalizer N(a) is a subgroup of group G.N(a)={x∈G | ax=xa}

To prove H is a subgroup of group G for matrix multiplication.
If a is a element of a group G then show that it's normalizer N(a) is also a subgroup of group G.
N(a) = { x∈G | ax=xa }
This video lecture of Group Theory | Subgroup | Theorems & Examples | Discrete Mathematics | Examples & Solution By Definition | Problems & Concepts by Sunita ma'am help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Subgroup ?
2. Proof of Important theorems on Subgroup
3. Definition of Proper & Improper Or trivial & Nontrivial Subgroup
4. Important Theorem Of Subgroup with example
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Видео If a is a element of group G prove it's normalizer N(a) is a subgroup of group G.N(a)={x∈G | ax=xa} канала Maths with Sunita Chandnani