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math.RA2012
Nilpotent and abelian Hopf-Galois structures on field extensions
Nigel P. Byott
Let be a finite Galois extension of fields with group . When is nilpotent, we show that the problem of enumerating all nilpotent Hopf-Galois structures on can be…
math.DS2012
On the mixing properties of piecewise expanding maps under composition with permutations
Nigel P. Byott, Mark Holland, Yiwei Zhang
We consider the effect on the mixing properties of a piecewise smooth interval map when its domain is divided into equal subintervals and is composed with a permutation…