Polynomials with Galois groups ${\rm Aut}(M\sb {22}),\;M\sb {22},$ and ${\rm PSL}\sb 3({\bf F}\sb 4)·2\sb 2$ over ${\bf Q}$

Some polynomials over Q(t) and their Galois groups

Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demonstrating the existence of an infinity of extensions with each Galois group over Q through degree eight. The methods used, which for the most part have not appeared in print, are briefly discussed.

Left dihedral codes over Galois rings ${\rm GR}(p^2,m)$

Let D2n = 〈x, y | x = 1, y = 1, yxy = x〉 be a dihedral group, and R = GR(p, m) be a Galois ring of characteristic p and cardinality p where p is a prime. Left ideals of the group ring R[D2n] are called left dihedral codes over R of length 2n, and abbreviated as left D2n-codes over R. Let gcd(n, p) = 1 in this paper. Then any left D2n-code over R is uniquely decomposed into a direct sum of conca...

Topological superconductor in quasi-one-dimensional ${\rm Tl}_{2-x}{\rm Mo}_6{\rm Se}_6$

Bank ownership, rm value and rm capital structure in Europe*

We investigate the role of banks in the ownership structure of non-…nancial …rms. Distinguishing between banks and other institutional investors as shareholders, we examine the relationship between …nancial institution ownership and the performance of the …rms in which they hold equity. We control explicitly for the capital structure decision of the …rms and the ownership decision of …nancial i...

Identifying an Honest ${\rm EXP}^{\rm NP}$ Oracle Among Many

We provide a general framework to remove short advice by formulating the following computational task for a function f : given two oracles at least one of which is honest (i.e. correctly computes f on all inputs) as well as an input, the task is to compute f on the input with the help of the oracles by a probabilistic polynomial-time machine, which we shall call a selector. We characterize the ...