When Does a Polynomial Over a Finite Field Permute the Elements of the Field?

We present a class of indecomposable polynomials of non prime-power degree over the finite field of two elements which are permutation polynomials on infinitely many finite extensions of the field. The associated geometric monodromy groups are the simple ...

SYNTHESIS AND CHARACTERIZATION OF TRISUBSTITUTED HETEROPOLYTUNGSTOGERMANATES CONTAINING GROUP 3A ELEMENTS

Six new compounds, alpha,beta-KaHb[GeW(9)M(3)(H2O)(3)O-37]. xH(2)O(M = Al, Ga, In; a + b = 7) and alpha-K9H5[Ge2W18Ga6(H2O)(3)O-74]. 20H(2)O, were synthesized from the lacunary precursors a and beta-GeW9O3410- and characterized by elemental analysis, spectroscopy and electrochemistry. Tungsten-183 NMR spectra of the title complexes consist of two lines with intensity ratio 2:1 as expected for trisubstituted heteropoly anions. The intensity ratio of alpha-Ga compound is 1:2, which is different from others(a:1). With the help of FAB mass spectrum, we concluded that it is a dimer with D-3h structure in aqueous, and the others exist by monomers with C-3v structures.

Restorative Justice as a Response to Sexual Offending – Addressing the Failings of Current Punitive Approaches

This article explores the use of restorative justice as a response to sexual crime. The management of high risk sex offenders, particularly in the community post-release, has been a key focus of contemporary popular and political debates on sexual offending. Many offenders fail to come to the attention of the criminal justice system. For those that do, there is the almost blanket application of recent control in the community measures such as sex offender registries and community notification which have failed to prevent reoffending. The response by the media and the public to the presence of sex offenders in the community may also impede offender rehabilitation. The use of punishment alone via formal criminal justice is, therefore, an inadequate deterrent for sexual crimes. Although controversial, this article advocates the use of restorative practices with sexual crime as a proactive, holistic response to the problem and ultimately as a more effective means of reducing the incidence of sexual offences and sex offender recidivism.