First isomorphism theorem for groups proof – Artofit

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First Isomorphism Theorem for Groups Proof
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Hamid Naderi Yeganeh (@naderi_yeganeh) on X

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Second Isomorphism Theorem for Groups Proof

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Kernel of a Group Homomorphism is a Subgroup Proof

Abstract algebra
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Direct Image of Union of Sets Proof: f(A U B) = f(A) U f(B)

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Inverse Image of a Subgroup is a Subgroup Proof

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H U K is a subspace iff H is contained in K or K is contained in H Proof

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A Group Homomorphism is Injective iff it's Kernel is Trivial Proof

Abstract Algebra Videos