Скачать или смотреть Kernel of a Homomorphism is a Normal Subgroup of G | Abstract Algebra Exercises

We prove that the kernel of a homomorphism from a group G to a group H is a normal subgroup of the domain group G. We use the two test subgroup test then prove that the kernel is closed with respect to conjugates. #abstractalgebra #grouptheory

Abstract Algebra Course:    • Abstract Algebra  
Abstract Algebra Exercises:    • Abstract Algebra Exercises  

Group Homomorphisms:    • Intro to Group Homomorphisms | Abstract Al...  
Basic Properties of Homomorphisms:    • Proof: Basic Properties of Homomorphisms (...  
Normal Subgroups:    • Definition of Normal Subgroups | Abstract ...  
Kernel of a Homomorphism:    • Kernels of Homomorphisms | Abstract Algebra  

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Calculus: https://amzn.to/3PieD1M
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020