Ch# 2 | Group Theory | Subgroup & Theorems of Subgroup in Hindi|Method by SM Yusuf Lec 12
Maths by Prof. Iqbal Haider Bhatti
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Ch# 2 | Group Theory | Subgroup & Theorems of Subgroup in Hindi|Method by SM Yusuf Lec 12
34 638 просмотров · 5 лет назад
Maths by Prof. Iqbal Haider Bhatti
125 тыс. подписчиков
34 638 просмотров · 5 лет назад
For All Notes of (B.Sc , B.S Honors Associate Degree Program) of Mathematics
Contact: +923008810640 ( Qamar Islam)
In this Lecture we have discussed the following Important Things
Group Theory
1) SUBGROUP
2) Trivial and Non-Trivial Subgroups
3) Theorem: Let H be a Subset of (G,.) Then H is a group of (G,.) Iff
(i) For every h₁,h₂ ∈ H ⇒ h₁.h₂ ∈ H
(ii) For every h ∈ H ⇒ h⁻¹ ∈ H
4) Theorem: Let H be a Subset of (G,+) Then H is a group of (G,+) Iff
(i) For every h₁,h₂ ∈ H ⇒ h₁+h₂ ∈ H
(ii) For every h ∈ H ⇒ -h ∈ H
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