Please help with this discussion: And, remind ourselves that a mapping connects two sets by establishing pairs. For examplethe mapping f:A →B, might create the pairs (a,, b4), (a2, b2), (a3, b3), and so on. This pairseach element in A with some element in B. We also know that some mappings between setsare onto, one-to-one or both. You might also note that if we can establish a 1-1correspondence (onto and one-to-one) between A and B, then we would know the sets wereequal. (Can either of explain why?)As we shift to thinking about a group, we have an operation to consider and some specialthings that have to happen. In other words, in order for the mapping to show the groups arestructurally the same (a version of equal), the mapping has to ensure key elements to eachother and it has to preserve the operation.What key elements would we want to map to one another? What would have to be true ifoperation *A in A works in essentially the same way operation *; works in B?

Name: Please help with this discussion: And, remind ourselves that a mapping
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help with this discussion: And, remind ourselves that a mapping connects two sets by establishing pairs. For examplethe mapping f:A →B, might create the pairs (a,, b4), (a2, b2), (a3, b3), and so on. This pairseach element in A with some eleme