In this paper we give new constructions of central units that generate a subgroup of finite index in the central units of the integral group ring ZG of a finite group. This is done for a very large ...class of finite groups G, including the abelian-by-supersolvable groups.
Although abuse prevention programs have proliferated, little research has explored the direct effects of such programs on actual child sexual abuse disclosure rates, and no research has explored the ...effects of such programs on child sexual abuse substantiation. Employing a quasi-experimental design, the present research reflects an exploration of the effects of exposure to the Think First and Stay Safe™ abuse prevention program on abuse disclosure rates of 319 children who underwent a child forensic interview within 2015–2018 in a Midwestern child advocacy center. Supporting our mediational hypotheses, children exposed (vs. not exposed) to the Think First and Stay Safe™ program were significantly more likely to disclose abuse during the forensic interview, which in turn predicted significantly increased abuse substantiation likelihood.
In recent years, the use of visioning processes and scenario-planning tools for developing regional land-use scenarios has become rather common. Typically, visioning is performed as a cooperative, ...inclusive process among business owners, community residents, interest groups, and local officials, and results in broad goals and principles which can guide future policies and plans. This is a very different approach than a land-use modeling process, which is typically generated by technical experts and results in a set of probable future trends and indicators which can guide the implementation of growth management strategies. The scenario-planning tools typically used for visioning processes are designed to generate and compare potential and preferred future development scenarios based on stakeholder values and preferences, whereas land-use models are used to predict likely future development patterns based on mathematical equations, reflecting historical trends, and market forces. Consequently, direct comparisons of results for the two methods are not really relevant. However, it is important to understand how the two approaches differ and that both offer their own relative advantages from a planning perspective. In an effort to better appreciate what each approach offers, this paper compares and contrasts these two methods, featuring the Austin metropolitan statistical area as a case study. The preferred vision, produced by the Envision Central Texas organization, offers the greatest potential for public involvement in identifying regional development goals for the future. The land-use models have a strong theoretical foundation and allow for interactions with a transportation model. Moreover, the land-use models have the potential to identify key strategies that can be used in achieving the region’s goals. Thus, the combination of these two approaches seems to offer the greatest opportunities for planners to achieve a future that accommodates all stakeholders.
Let G be a torsion group and R be a commutative ring with identity. We investigate reversible group rings RG over commutative rings, extending results of Gutan and Kisielewicz which characterize all ...reversible group rings over fields.
We say that an algebra
R
, graded by a group, is graded reversible if
ab
=0 implies
ba
=0 where
a
,
b
are homogeneous elements of
R
. In this note, we study graded reversibility when
R
=ℤ
G
(viewed ...as a ℤ-algebra) and the grading group is cyclic of order two. A complete characterization of when this occurs is obtained for some classes of groups (including dihedral groups) assuming a positive answer to an open question concerning group gradings.
Hypercentral units in integral group rings Li, Yuanlin; Parmenter, M. M.
Proceedings of the American Mathematical Society,
08/2001, Letnik:
129, Številka:
8
Journal Article
Recenzirano
Odprti dostop
In this note, we show that when G is a torsion group the second center of the group of units U({\mathbb Z}G) of the integral group ring {\mathbb Z}G is generated by its torsion subgroup and by the ...center of U({\mathbb Z}G). This extends a result of Arora and Passi (1993) from finite groups to torsion groups, and completes the characterization of hypercentral units in {\mathbb Z}G when G is a torsion group.
Central units in salternative loop rings Goodaire, E. G.; Milies, C. Polcino; Parmenter, M. M.
Archiv der Mathematik,
11/2005, Letnik:
85, Številka:
5
Journal Article
Financial service professionals strive to serve others every day. However, when we are stressed out or worse, burned out, not only are we hindering our productivity, but we are less effective for our ...clients. The key to reducing our stress is not doing more but doing less. This article focuses on three behaviors to stop in order to experience less stress and more joy, and to live a life filled with purpose. This article is written in the first person because it is meant to be personal, a conversation between two professionals over a cup of coffee.
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