Let $g(x)=x^3+ax^2+bx+c$ and $f(x)=g(x^3)$ be irreducible polynomials with rational coefficients, and let $ {\mathrm{Gal}}(f)$ be the Galois group of $f(x)$ over $\mathbb {Q}$. We show $ {\mathrm{Gal}}(f)$ is one of 11 possible transitive subgroups of $S_9$, defined up to conjugacy; we use $ {\mathrm{Disc}}(f)$, $ {\mathrm{Disc}}(g)$ and two additional low-degree resolvent polynomials to identify $ {\mathrm{Gal}}(f)$. We further show how our method can be used for determining one-parameter families for a given group. Also included is a related algorithm that, given a field $L/\mathbb {Q}$, determines when L can be defined by an irreducible polynomial of the form $g(x^3)$ and constructs such a polynomial when it exists.

The significantly favourable changes in medical students' general attitudes to psychiatry which we found after their 8-week clerkship in psychiatry and at the end of their clinical curriculum were not maintained at the end of their first post-graduate year. Three of their specific attitudes to psychiatry changed significantly in an unfavourable direction over this 2-year period. Our findings suggest that, while favourable changes in students' specific attitudes to psychiatry can be found following a clerkship, these attitudes do not seem to endure and, in some cases, they later become less favourable. The results are discussed with reference to the relationships between undergraduate medical training in psychiatry, attitudes to psychiatry, and subsequent career choice, particularly general practice.

Thirty patients who fulfilled DSM–III criteria for schizophrenia but who were within 2 years of presentation were compared with 26 age–matched normal volunteers with respect to CT scan appearances. In the index group the ventricle–brain ratio (VBR) was significantly greater. The VBR values were positively correlated with average alcohol intake and with early physical trauma, and negatively correlated with a family history of schizophrenia. The implications of these findings are discussed in the context of the present uncertainty about the meaning of CT scan findings in schizophrenia.

Attention-deficit hyperactivity disorder (ADHD) and hyperkinetic disorder are well-established diagnoses in children, with estimates of prevalence in pre-adolescent children from 3 to 5%. Until recently ADHD was not thought to persist beyond adolescence, but results from long-term prospective outcome studies indicate that 30–70% of children with ADHD exhibit some symptoms as adults. Recognition of this disorder is important as the persistence of ADHD symptoms has been shown to be associated with academic and occupational failure and high rates of psychiatric comorbidity. With the establishment of a UK support group (LADDER) and increasing media attention highlighting this problem it is likely that there will be an increased demand for psychiatric assessment of adult ADHD in the next few years.

Data from the Camberwell Collaborative Psychosis Study were used to examine the proposition that there is an excess of life events preceding the onset of psychoses of all types. Of 97 patients from the study who had episodes within the past year that were datable, 51 had developed psychotic symptoms from an essentially symptom-free state, 29 had been suffering only from neurotic symptoms, and 17 had experienced a marked exacerbation of psychotic symptoms. DSM–III diagnoses were collapsed into three major groups: 51 cases of schizophrenia; 31 cases of mania; and 14 cases of depressive psychosis. Life-event histories were taken for the six months before onset, and when these were compared with equivalent histories from a psychiatrically healthy sample from the local general population, there was a significant excess of life events, particularly in the three months before onset of psychosis. This was apparent in all groups, and remained even when events were restricted to the independent category. The excess of events began rather earlier than has been found in previous studies. In our view, this study provides some of the strongest evidence for a link between life events and the emergence of psychotic symptoms.

Sixty-nine patients, each with a combined diagnosis of epilepsy and psychosis, were compared with 53 patients with a diagnosis of functional psychosis. The epileptic affective patients often lacked convincing psychotic features; ECT and lithium were rarely prescribed; only three showed evidence of bipolarity. The epileptic schizophrenic patients were judged to have the better premorbid personality, experienced more paranoid delusions and delusions of reference, and showed less catatonic features than the functional schizophrenic patients. The course of the epileptics' illness was more variable.

The concept that the schizophrenia-like psychosis associated with epilepsy is a distinct nosological entity is supported, but not the suggestion of a relationship between affective psychosis and epilepsy.