Nicole R. Looper

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20162026

most citedDynamical Galois groups of trinomials and Odoni's conjecture

9 citations · 11 across the 11 of their papers we have counts for

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math.NT2016★ 9 cited

Dynamical Galois groups of trinomials and Odoni's conjecture

Nicole R. Looper

We prove Odoni's conjecture in all prime degrees; namely, we prove that for every positive prime $p$ , there exists a degree $p$ polynomial $φ \in Z [x]$ with surjective arbor…

math.NT2016

Galois groups of iterates of some unicritical polynomials

Michael R. Bush, Wade Hindes, Nicole R. Looper

We prove that the arboreal Galois representations attached to certain unicritical polynomials have finite index in an infinite wreath product of cyclic groups, and we prove surject…