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19992025
most citedLinear relations between polynomial orbits

51 citations · 372 across the 56 of their papers we have counts for

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math.GR2013

Permutation groups generated by binomials

Michael E. Zieve

Let G(q) be the group of permutations of the finite field F_q which is generated by those permutations that can be written as c-->ac^m+bc^n with 0<m<n<q and a,b in F_q with ab nonz…

math.GR2007★ 3 cited

Analogues of the Jordan-Holder theorem for transitive G-sets

Greg Kuperberg, Michael Zieve

Let G be a transitive group of permutations of a finite set X, and suppose that some element of G has at most two orbits on X. We prove that any two maximal chains of groups betwee…