28 citations
6 papers
Demuskin groups, Galois modules, and the elementary type conjecture
John Labute, Nicole Lemire, Jan Minac +1
Let p be a prime and F(p) the maximal p-extension of a field F containing a primitive p-th root of unity. We give a new characterization of Demuskin groups among Galois groups Gal(…
Generalizations of Goncalves' inequality
Peter Borwein, Michael J. Mossinghoff, Jeffrey D. Vaaler
If is a polynomial with complex coefficients, leading term , and roots , ..., , then Gonçalves' inequality states that is bounded below by $\abs{a_N}…
Zero-curvature solutions of the one-dimensional Schrodinger equation
M. Belloni, M. A. Doncheski, R. W. Robinett
We discuss special k=sqrt{2m(E-V(x))/\hbar^2}=0 (i. e. zero-curvature) solutions of the one-dimensional Schrodinger equation in several model systems which have been used as ideali…
Construction and classification of some Galois modules
Jan Minac, John Swallow
In our previous paper we describe the Galois module structures of th-power class groups , where is a cyclic extension of degree over a field $…
Observed photodetachment in parallel electric and magnetic fields
John N. Yukich, Tobias Kramer, Christian Bracher
We investigate photodetachment from negative ions in a homogeneous 1.0-T magnetic field and a parallel electric field of approximately 10 V/cm. A theoretical model for detachment i…
Brauer groups of genus zero extensions of number fields
Jack Sonn, John Swallow
We determine the isomorphism class of the Brauer groups of certain nonrational genus zero extensions of number fields. In particular, for all genus zero extensions E of the rationa…