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Aug 4 at 18:33 history became hot network question
Aug 4 at 12:53 vote accept Andrea Antinucci
Aug 4 at 11:34 answer added Sean Eberhard timeline score: 7
Aug 4 at 11:04 comment added Sean Eberhard Incidentally I was expecting to see the requirement $q(na) = n^2 q(a)$ for all $n \in \mathbb Z$, but I see this actually follows from $q(-a) = q(a)$.
Aug 4 at 11:03 comment added Sean Eberhard Question 2 is trivial: it is the set of all functions $q :A \to \mathbb R / \mathbb Z$ such that $q(-a) = q(a)$ and $q(a+b) = q(a) + q(b)$ identically, which is obviously $\mathrm{Hom}(A, \frac12 \mathbb Z / \mathbb Z)$.
Aug 4 at 10:36 history edited YCor CC BY-SA 4.0
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Aug 4 at 10:32 history asked Andrea Antinucci CC BY-SA 4.0