We reduce the regular version of the Inverse Galois Problem for any finite group G to finding one rational point on an infinite sequence of algebraic varieties. As a consequence, any finite group G… (More)

We use the classification of finite simple groups and covering theory in positive characteristic to solve Carlitz’s conjecture (1966). An exceptional polynomial f over a finite field Fq is a… (More)

The monodromy method|featuring braid group action||rst appeared as a moduli space approach for nding solutions of arithmetic problems that produce reducible variables separated curves. Examples in… (More)

The gastric emptying times associated with three whey-based formulas were significantly shorter than that associated with a casein-based formula in nine gastrostomy-fed patients with spastic… (More)

Suppose C is an algebraic curve, f is a rational function on C defined over Q, and A is a fractional ideal of Q. If f is not equivalent to a polynomial, then Siegel’s theorem gives a necessary… (More)

The method of choice nowadays for achieving a group G as a Galois group of a regular extension of Q(x) goes under the heading of “rigidity.” It works essentially, only, to produce Galois extensions… (More)

The purpose of this study was to measure whole-body bioelectrical variables and to validate the technique of bioelectrical impedance analysis (BIA) as a measure of total body water (TBW) in patients… (More)

Given a formula in the language of fields we use Galois stratification to establish an effective algorithm to estimate the number of points over finite fields that satisfy the formula Introduction… (More)

We show that the absolute Galois group of a countable Hilbertian P(seudo)A(lgebraically)C(losed) field of characteristic 0 is a free profinite group of countably infinite rank (Theorem A). As a… (More)