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Trivial Homomorphic Images | Abstract Algebra Exercises
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We prove every group has two trivial homomorphic images, the trivial group with only the identity, and the whole group itself. The proof is straightforward, requiring only the knowledge of the definition of a homomorphism and a homomorphic image, which relates to surjectivity surjectivity or a function being "onto". #abstractalgebra #grouptheory
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◉Textbooks I Like◉
★DONATE★
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, 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.
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