- #1
Kate2010
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Homework Statement
Let L = Q(t) be the field of rational functions with one variable over Q. Consider the field automorphisms of L defined by a : t -> 1 - t and b : t -> 1/t . Find the relations.
I will then be using this to find the size and abstract structure of the subgroup G of Aut(L) generated by a and b. But for now, my question is what does it mean by find the relations?
Homework Equations
The Attempt at a Solution
The only relations I can think of are equivalence relations. All I have managed to do with these automorphisms is work out a^2 = id and b^2 = id.