What does $conclude$ mean in this sentence?

Question

My friend asked me a question, but I don't know the meaning of the sentence Conclude that $\sigma_n$ is a ring automorphism here, does it mean Prove that $\sigma_n$ is a ring automorphism or Make the following map completely so that $\sigma_n$ is a ring automorphism? Thanks in advance!

Answer 1

Conclude, in this context, is math exercise jargon for "Deduce from previous facts", i.e. use (a) to prove that $\sigma_n$ is a ring automorphism.

Answer 2

The exercise gives a sketch of the direction of the proof. The word "conclude" here means you should furnish enough detail so that the result is a reasonable and understandable proof that proceeds in the indicated direction.