Excitement between the two groups have risen after the election.
is this correct

The subject-verb agreement is wrong. The correct sentence would be:

- Excitement between the two groups has risen after the election.

Explanation:

If we ask the verb a simple question, we can find the subject: "What has risen after the election? Excitement between the two groups." Even though the answer is long, the simple subject itself is comprised of just one singular word: "excitement". This is the most important word, the one to which the verb refers. We can even remove the words that come after it, and the effect or meaning will be the same: "Excitement has risen after the election."

The problem with "Excitement between the two groups have risen after the election" is that "have" is agreeing with "groups". However, as seen above, "groups" is not the most important word in the subject. Therefore, the verb should not agree with it.

the choice that is not a technique that you should use to come up with ideas for the topic of a research project is, writing about academic subjects that are not interesting to you. this does not belong to the techniques to come up with ideas because having no interest in a certain topic will lose your drive to come up with better ideas. it gives no room for improvement and acquiring of new ideas and information. 

explanation: