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Feb 9, 2018 at 13:05 comment added Padraig Ó Catháin Thanks for this Steve! We can compute the solutions to both problems for small groups, but we haven't been able to show that for large $p$ there is a solution of size $O(p^{3-\epsilon})$ for $\epsilon >0$. I've clarified the question to ask for all primes $p$.
Feb 9, 2018 at 6:13 history answered Glasby CC BY-SA 3.0