15 citations · 28 across the 11 of their papers we have counts for
9 papers · 1 filter
Diophantine statements over Residue fields: Galois stratification and uniformity
Michael D. Fried
Using Felgner's problem I revisit a key issue in using the "Galois Stratification Procedure" that first appeared in [FrS76]. The emphasis here is on using arithmetic homotopy to ma…
Moduli relations between l-adic representations and the regular inverse Galois problem
Michael David Fried
There are two famous Abel Theorems. Most well-known is his description of abelian (analytic) functions on a one dimensional compact complex torus. The other collects together those…
Introduction to moduli, l-adic representations and the Regular Version of the Inverse Galois Problem
Michael D. Fried
Sect 1 introduces Nielsen classes attached to (G,C), where C is r conjugacy classes in a finite group G, and a braid action on them. These give reduced Hurwitz spaces, denoted H(G,…
Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification
Michael d. Fried
H. Davenport's Problem asks: What can we expect of two polynomials, over the integers, with the same ranges on almost all residue class fields? This stood out among many separated…
Moduli of relatively nilpotent extensions
Michael D. Fried
Gives the most precise available description of the p-Frattini module for any p-perfect finite group G=G_0 (Thm. 2.8), and therefore of the groups G_{k,ab}, k \ge 0, from which we…
The place of exceptional covers among all diophantine relations
Michael D. Fried
A cover of normal varieties is exceptional over a finite field if the map on points over infinitely many extensions of the field is one-one. A cover over a number field is exceptio…