By means of zeta and normal zeta functions of space groups, we determine the number of subgroups, resp. normal subgroups, of the tenth crystallographic group for any given index. This enables us to draw conclusions on the subgroup growth and the degree of this group.

Abstract The series of papers in this issue of AMBIO represent technical presentations made at the 7th International Phosphorus Workshop (IPW7), held in September, 2013 in Uppsala, Sweden. At that meeting, the 150 delegates were involved in round table discussions on major, predetermined themes facing the management of agricultural phosphorus (P) for optimum production goals with minimal water quality impairment. The six themes were (1) P management in a changing world; (2) transport pathways of P from soil to water; (3) monitoring, modeling, and communication; (4) importance of manure and agricultural production systems for P management; (5) identification of appropriate mitigation measures for reduction of P loss; and (6) implementation of mitigation strategies to reduce P loss. This paper details the major challenges and research needs that were identified for each theme and identifies a future roadmap for catchment management that cost-effectively minimizes P loss from agricultural activities.

Phosphorus losses from arable land need to be reduced to prevent eutrophication of surrounding waters. Owing to the high spatial variability of P losses, cost-effective countermeasures need to target parts of the catchment that are most susceptible to P losses. Field surveys identified critical source areas for overland flow and erosion amounting to only 0.4–2.6 % of total arable land in four different catchments in southern Sweden. Distributed modelling using high-resolution digital elevation data identified 72–96 % of these observed erosion and overland flow features. The modelling results were also successfully used to predict occurrence of overland flow and rill and gully erosion in a catchment in central Sweden. Such exact high-resolution modelling allows for accurate placement of planned countermeasures. However, current legislative and environmental subsidy programmes need to change their approach from income-loss compensation to rewarding high cost effectiveness of implemented countermeasures.

Objective – The present study was undertaken to determine alcohol consumption among adolescents attending state schools in the BrAko District of Bosnia and Herzegovina (BH). Participants and method – The subjects were pupils in the ninth grade of elementary school and all high school pupils. 4,188 pupils took part in the survey. The research was planned as a cross-sectional study, and it was conducted using the ESPAD questionnaire, which was adjusted for this research. Demographic data were collected through a specific question-form for each enrolled adolescent . Results – More than half the adolescents consumed alcohol. Boys did so more often, whilst there was no difference in alcohol consumption between those who lived in villages or towns. At the age of 14 years nearly half the adolescents had consumed alcohol, where boys had done so more often, as well as the adolescents from villages. The places where the adolescents most often consumed alcohol were discotheques, “at friends’ homes”, and in cafA©s. More than half the members of the adolescents’ households consume alcohol. Adolescents in the BrAko District of BH had consumed alcohol over the previous 30 days in a significantly higher percentage than pupils from the Republic of Srpska and the Federation of BH, and in a significantly lower percentage than pupils from Croatia, whilst the difference in comparison with Serbia was not significant. The frequency of alcohol intoxication in the BrAko District of BH was the lowest in comparison with the Republic of Srpska, the Federation of BH, Croatia and Serbia. Conclusion – Overall alcohol consumption amongst adolescents is becoming generally acceptable behaviour, which is tolerated by the community and parents, in that alcohol consumption is becoming a life-style, but it is not being systematically studied as a negative phenomenon, nor are there any long-term programmes to deter adolescents from consuming alcohol.

Objective – We report an unusual case of split cord malformation (SCM) associated with open spinal dysraphism and other anomalies of the central nervous system. Case report – A male newborn was admitted to the Pediatric Intensive Care Unit immediately after birth by Caesarean delivery. Clinical examination and diagnostics (MRI) showed open spinal dysraphism in the distal part of the spine (level L5 and S1), split cord malformation type I which separated two hemicords, tethered cord and syringomyelia. Two days after birth microneurosurgery was performed. Cranial and cervical MRI showed Chiari I and corpus callosum hypoplasia. There was no hydrocephalus. Preoperatively the patient had paraparesis and discretely moved his left foot. MRI showed a dilated bladder so he may have had urinary retention. The postoperative recovery was satisfactory. The patient did not have any additional neurological deficit. The patient was followed up by a neurosurgeon, pediatric surgeon, pediatrician and physiatrist. Control MRI scans showed significant regression of the syrinx and some ascensus of the medulla. About 18 months after operation the patient had discrete paresis of the left foot. Conclusion – Complex spina bifida is an extremely rare condition. In this paper we describe this interesting case of complex spina bifida: a split cord malformation characterized by atypical bony morphology with a dural fold into the bone septum.

We calculate zeta and normal zeta functions of space groups with the point group isomorphic to the cyclic group of order 2. The obtained results are applied to determine the number of subgroups, resp. normal subgroups, of a given index for each of these groups.