Mild pro-p-groups with 4 generators

Let p be an odd prime and S a finite set of primes = 1 mod p. We give an effective criterion for determining when the Galois group G=G_S(p) of the maximal p-extension of Q unramified outside of S is mild when |S|=4 and the cup product H^1(G,Z/pZ) \otimes H^1(G,Z/pZ) --> H^2(G,Z/pZ) is surjective.Comment: 12 pages. No figures. LaTe

On certain quotients of pp-class tower groups of quadratic fields

A characterization of the quotients of $p$-class tower groups of quadratic fields by terms in the lower $p$-central series plays an important role in the formulation of conjectures by Boston, Hajir and the author about the distribution of such groups as the base field varies. In this paper, another equivalent criterion is given which resolves an issue that arose as part of the group-theoretical calculations carried out in relation to these conjectures.Comment: Made some minor structural changes and corrections. Added more details to the proof of Lemma 2.

Experimental Analysis of the Effects of Hydroscape Structure on Fishes in a Dynamic Wetland

Hydroscape structure can play a critical role in animal behavior, abundance, and community structure dynamics. Hydroscape configuration can be dynamic and can change quickly in ephemeral systems. However, ephemeral freshwater wetlands are among the most impacted systems in the world and restoration efforts often rely on incomplete information when establishing management objectives. Further understanding how alterations in hydroscape structure in dynamic systems affect animals is critical for conservation and management success. To determine impacts that changing hydroscape conditions can have on consumers in freshwater wetlands, I examined the effects of a large-scale physical model on fish behavior, abundance, and community structure. The physical model incorporated the restoration of sheetflow, canal-fill treatments, and the removal of a decades-old levee that divided two water management areas in the central Everglades. Small fishes modified directional movement behaviors and speed of movement before and after alterations took place, though behavioral responses varied widely by species. Density and community structure of small fishes did change as a function of canal-fill and levee removal treatments. Behaviors of large fishes were also affected by hydroscape alterations, as well as hydroscape configuration beyond the limited footprint of the physical model. Large fish abundance was altered by hydroscape alteration, particularly among certain species. Composition of the large fish community changed before and after hydroscape alteration, though magnitude of responses were site-specific. Effects of hydroscape structure proximity on trophic dynamics were examined using exclosure cages that excluded large predators but allowed access for small consumers. Exclosures were stratified according to proximity to a deep-water canal. Predator avoidance behaviors in small consumers were limited but present. Differences in behavior between sites may also be caused by differences in structure across sites and limited differences in nutrient quality. Behavioral, population, and community responses to hydroscape alteration can be valuable metrics to assess the success of hydroscape restoration. While results can vary across individuals, species, and sampling sites, effects can still be detected even at the scale of the hydroscape. My research has detailed the potential effects of restoration plans across the greater Everglades and can be extended to other ephemeral wetland restoration programs

Autonomic nervous system functioning assessed during the Still-Face Paradigm: A meta-analysis and systematic review of methods, approach and findings.

Animal and human research suggests that the development of the autonomic nervous system (ANS) is particularly sensitive to early parenting experiences. The Still-Face Paradigm (SFP), one of the most widely used measures to assess infant reactivity and emotional competence, evokes infant self-regulatory responses to parental interaction and disengagement. This systematic review of 33 peer-reviewed studies identifies patterns of parasympathetic (PNS) and sympathetic (SNS) nervous system activity demonstrated by infants under one year of age during the SFP and describes findings within the context of sample demographic characteristics, study methodologies, and analyses conducted. A meta-analysis of a subset of 14 studies with sufficient available respiratory sinus arrhythmia (RSA) data examined whether the SFP reliably elicited PNS withdrawal (RSA decrease) during parental disengagement or PNS recovery (RSA increase) during reunion, and whether results differed by socioeconomic status (SES). Across SES, the meta-analysis confirmed that RSA decreased during the still-face episode and increased during reunion. When studies were stratified by SES, low-SES or high-risk groups also showed RSA decreases during the still face episode but failed to show an increase in RSA during reunion. Few studies have examined SNS activity during the SFP to date, preventing conclusions in that domain. The review also identified multiple qualifications to patterns of SFP ANS findings, including those that differed by ethnicity, infant sex, parental sensitivity, and genetics. Strengths and weaknesses in the extant research that may explain some of the variation in findings across the literature are also discussed, and suggestions for strengthening future research are provided

Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)

The structure of the Galois group of the maximal unramified p-extension of an imaginary quadratic field is restricted in various ways. In this paper we construct a family of finite 3-groups satisfying these restrictions. We prove several results about this family and characterize them as finite extensions of certain quotients of a Sylow pro-3 subgroup of SL_2(Z_3). We verify that the first group in the family does indeed arise as such a Galois group and provide a small amount of evidence that this may hold for the other members. If this were the case then it would imply that there is no upper bound on the possible lengths of a finite p-class tower.Comment: 7 pages. No figures. LaTe