Applying Modular Towers to the Inverse Galois Problem

Abstract

Let G be a finite (possibly simple) group, and let p be a prime dividing the order of G. The characteristic finite quotients pG̃ of the universal p-Frattini cover of G are strikingly similar groups. It takes an effort to distinguish them for finding Q regular realizations for the Inverse Galois problem. This paper starts a program to show one can’t realize… (More)

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