BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS

Marciniak and Sehgal showed that if u is a non-trivial bicyclic unit of an integral group ring then there is a bicyclic unit v such that u and v generate a non-abelian free group. A similar result does not hold for Bass cyclic units of infinite order based on non-central elements as some of them have finite order modulo the center. We prove a theorem that suggests that this is the only limitation to obtain a non-abelian free group from a given Bass cyclic unit. More precisely, we prove that if u is a Bass cyclic unit of an integral group ring ZG of a solvable and finite group G, such that u has infinite order modulo the center of U(ZG) and it is based on an element of prime order, then there is a non-abelian free group generated by a power of u and a power of a unit in ZG which is either a Bass cyclic unit or a bicyclic unit.

ALTERNATING UNITS AS FREE FACTORS IN THE GROUP OF UNITS OF INTEGRAL GROUP RINGS

Let G be a group of odd order that contains a non-central element x whose order is either a prime p >= 5 or 3(l), with l >= 2. Then, in U(ZG), the group of units of ZG, we can find an alternating unit u based on x, and another unit v, which can be either a bicyclic or an alternating unit, such that for all sufficiently large integers m we have that < u(m), v(m)> = < u(m)> * < v(m)> congruent to Z * Z.

Involutions and free pairs of bicyclic units in integral group rings

If * : G -> G is an involution on the finite group G, then * extends to an involution on the integral group ring Z[G] . In this paper, we consider whether bicyclic units u is an element of Z[G] exist with the property that the group < u, u*> generated by u and u* is free on the two generators. If this occurs, we say that (u, u*)is a free bicyclic pair. It turns out that the existence of u depends strongly upon the structure of G and on the nature of the involution. One positive result here is that if G is a nonabelian group with all Sylow subgroups abelian, then for any involution *, Z[G] contains a free bicyclic pair.

Being a bridge : Swedish antenatal care midwives’ encounters with Somali-born women and questions of violence; a qualitative study

Background: Violence against women is associated with serious health problems, including adverse maternal and child health. Antenatal care (ANC) midwives are increasingly expected to implement the routine of identifying exposure to violence. An increase of Somali born refugee women in Sweden, their reported adverse childbearing health and possible links to violence pose a challenge to the Swedish maternity health care system. Thus, the aim was to explore ways ANC midwives in Sweden work with Somali born women and the questions of exposure to violence. Methods: Qualitative individual interviews with 17 midwives working with Somali-born women in nine ANC clinics in Sweden were analyzed using thematic analysis. Results: The midwives strived to focus on the individual woman beyond ethnicity and cultural differences. In relation to the Somali born women, they navigated between different definitions of violence, ways of handling adversities in life and social contexts, guided by experience based knowledge and collegial support. Seldom was ongoing violence encountered. The Somali-born women’s’ strengths and contentment were highlighted, however, language skills were considered central for a Somali-born woman’s access to rights and support in the Swedish society. Shared language, trustful relationships, patience, and networking were important aspects in the work with violence among Somali-born women. Conclusion: Focus on the individual woman and skills in inter-cultural communication increases possibilities of overcoming social distances. This enhances midwives’ ability to identify Somali born woman’s resources and needs regarding violence disclosure and support. Although routine use of professional interpretation is implemented, it might not fully provide nuances and social safety needed for violence disclosure. Thus, patience and trusting relationships are fundamental in work with violence among Somali born women. In collaboration with social networks and other health care and social work professions, the midwife can be a bridge and contribute to increased awareness of rights and support for Somali-born women in a new society.

Provenance: The Bridge Between Experiments and Data

Current scientific applications are often structured as workflows and rely on workflow systems to compile abstract experiment designs into enactable workflows that utilise the best available resources. The automation of this step and of the workflow enactment, hides the details of how results have been produced. Knowing how compilation and enactment occurred allows results to be reconnected with the experiment design. We investigate how provenance helps scientists to connect their results with the actual execution that took place, their original experiment and its inputs and parameters.