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Episode #110 - Groups... Theoretically w/ Dr Zack Wolske

Math & Physics Podcast

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Is Rank Nullity for Groups?

Group morphism is the equivalent of rank nullity for groups. We need a function between groups as opposed to right we need a group morphism So you have one group and another group and we have some way of sending things from one to another. With two c4s I can say uh send b to one and send a to two and send c to three That's a nice some morphism with the set z mod four And we can also transform the operation in this? Yes Okay, so you can send let's say addition to multiplication on you know a very famous In addition to multiplication and it's the exponential Yeah The exponential is a group homomorphism Between the real numbers the positive

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