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math.DS2021
Settled elements in profinite groups
María Isabel Cortez, Olga Lukina
Given a polynomial of degree d over a number field, the image of the associated arboreal representation of the absolute Galois group of the field is a profinite group acting on the…
math.DS2021
The prime spectrum of solenoidal manifolds
Steven Hurder, Olga Lukina
A solenoidal manifold is the inverse limit space of a tower of proper coverings of a compact manifold. In this work, we introduce new invariants for solenoidal manifolds, their asy…