Structure of the Unit Group of FD10

2000 Mathematics Subject Classification: 16U60, 20C05.

Hypercentral unit groups and the hyperbolicity of a modular group algebra

We classify groups G such that the unit group U-1 (ZG) is hypercentral. In the second part, we classify groups G whose modular group algebra has hyperbolic unit groups U-1 (KG).

Integral group ring of the Suzuki sporadic simple group

Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group Suz. As a consequence, for this group we confirm the Kimmerle`s conjecture on prime graphs.

INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS

Let ZG be the integral group ring of the finite nonabelian group G over the ring of integers Z, and let * be an involution of ZG that extends one of G. If x and y are elements of G, we investigate when pairs of the form (u(k,m)(x*), u(k,m)(x*)) or (u(k,m)(x), u(k,m)(y)), formed respectively by Bass cyclic and *-symmetric Bass cyclic units, generate a free noncyclic subgroup of the unit group of ZG.

Star-group identities and groups of units

Analogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F not equal 2. Extend * linearly to FG. We prove that the unit group U of FG satisfies a *-identity if and only if the symmetric elements U(+) satisfy a group identity.

Group identities on symmetric units

Let F be an infinite field of characteristic different from 2, G a group and * an involution of G extended by linearity to an involution of the group algebra FG. Here we completely characterize the torsion groups G for which the *-symmetric units of FG satisfy a group identity. When * is the classical involution induced from g -> g(-1), g is an element of G, this result was obtained in [ A. Giambruno, S. K. Sehgal, A. Valenti, Symmetric units and group identities, Manuscripta Math. 96 (1998) 443-461]. (C) 2009 Elsevier Inc. All rights reserved.

L-infinity norms of holomorphic modular forms in the case of compact quotient

We prove a sub-convex estimate for the sup-norm of L-2-normalized holomorphic modular forms of weight k on the upper half plane, with respect to the unit group of a quaternion division algebra over Q. More precisely we show that when the L-2 norm of an eigenfunction f is one, parallel to f parallel to(infinity) <<(epsilon) k(1/2-1/33+epsilon) for any epsilon > 0 and for all k sufficiently large.

Hyperbolicity of semigroup algebras

Let A be a finite-dimensional Q-algebra and Gamma subset of A a Z-order. We classify those A with the property that Z(2) negated right arrow U(Gamma) and refer to this as the hyperbolic property. We apply this in case A = K S is a semigroup algebra, with K = Q or K = Q(root-d). A complete classification is given when KS is semi-simple and also when S is a non-semi-simple semigroup. (c) 2008 Elsevier Inc. All rights reserved.

HYPERBOLICITY OF SEMIGROUP ALGEBRAS II

In 1996, Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of research by partially classifying the finite semigroups whose rational semigroup algebra contains a Z-order with hyperbolic unit group. In this paper, we complete this classification and give an easy proof that deals with all finite semigroups.

Locally nilpotent groups of units in tiled rings

We consider locally nilpotent subgroups of units in basic tiled rings A, over local rings O which satisfy a weak commutativity condition. Tiled rings are generalizations of both tiled orders and incidence rings. If, in addition, O is Artinian then we give a complete description of the maximal locally nilpotent subgroups of the unit group of A up to conjugacy. All of them are both nilpotent and maximal Engel. This generalizes our description of such subgroups of upper-triangular matrices over O given in M. Dokuchaev, V. Kirichenko, and C. Polcino Milies (2005) [3]. (C) 2010 Elsevier Inc. All rights reserved.

Validação de conteúdo do instrumento para consulta de enfermagem na visita domiciliar às pessoas com lesão medular: um enfoque no autocuidado

This study aimed to validate the contents of an Instrument for Nursing Consultation in the Home Visit of people with Spinal Cord Injury (INCEVDOP-LM), based on the Self-Care Deficit Theory. The methodological development study was conducted with spinal cord injured (SCI) people ascribed in the Family Health Units the city of Natal/RN/Brazil, and with the nurses of these institutions. The study was conducted from Januray 2012 to January 2013 in two phases: the first aimed to identify the need for self-care of persons with SCI, and the second to develop and validate the INCEVDOP-LM. The first phase consisted of a census study of people with SCI living in Natal/RN. In the second phase, a non-probabilistic convencience sample of subjects was selected to form two groups: First stage - Group 1 of the first stage was comprised by 73 adults with SCI diagnosed with paraplegia or tetraplegia, with cognitive function preserved and that were registered to some family health unit; Group 2 of the Second phase was composed of six experts that were nurses with doctoral formation, scientific experience in the area of technology development or assistance to persons with SCI, and with publications in periodicals Qualis A2. Data collection of the first phase was conducted through home visits of people with SCI that responded three instruments: Questionnaire I (comprised of demographic and socioeconomic variables), The Competency Rating Scale for Self-care (ASA) and the Barthel Index (an instrument for evaluation of functional capacity). The research for the second phase was conducted in two stages: I-construction of the INCEVDOP LM; II-validation of the INCEVDOP-LM. The instrument and an evaluation form were forwarded to the experts for the validation. The correlations between the responses were analyzed by the Kappa test, with accepting values of>0.75. The evaluation criteria were: organization, clarity, simplicity, readability, appropriateness of vocabulary, objectivity, accuracy, reliability and suitability and the positive responses with frequency values of≥90% were considered excellent. The chi-square test was used to investigate the differences between proportions. The study attended to the principles of Human Rights CNS Resolution 196/96. Results were reported by means of four articles derived from the study. The findings indicate that the items that showed disagreement among experts (k=0.02) were diagnoses, interventions and evaluation of the nursing features pertaining to the domains of Nutrition, Hygiene, Elimination, Physical, Social and Psychological, and of the Ability to perform work activities feature. Agreement among the experts were reported for the other items, with kappa ranging from 0.72 to 1. After removing items with disagreement, all criteria achieved excellent rates and no significant differences were observed between the proportions of responses of evaluation of experts (p>0.05). We conclude that the instrument shows validity to serve as a guide for nurses to conduct a systematic consultation during the home visit to people with spinal cord injury, with emphasis on self-care. The instrument must go through other levels of validation when applied in the clinical setting

Alternant and BCH codes over certain rings

Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate extension of the finite ring. An efficient decoding procedure which makes use of the modified Berlekamp-Massey algorithm to correct errors and erasures is presented. Furthermore, we address the construction of BCH codes over Zm under Lee metric.

Evolução de pacientes clínicos e cirúrgicos com injúria renal aguda

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Einfluss der Einzeldosisblisterverpackung von festen Oralia auf die Arzneimitteltherapiesicherheit, Information und Zufriedenheit stationär behandelter Patienten in einer prospektiven, multizentrischen Studie

Bei der vorliegenden Studie wurde die Machbarkeit und Qualität der Arzneimittelverteilung von oralen Arzneimitteln in Einzeldosisblisterverpackungen je abgeteilte Arzneiform (EVA) untersucht.rnDie Studie wurde als offene, vergleichende, prospektive und multizentrische Patientenstudie durchgeführt. Als Studienmedikation standen Diovan®, CoDiovan® und Amlodipin in der EVA-Verpackung zur Verfügung. Die Verteilfehlerrate in der EVA- und Kontroll-Gruppe stellte den primären Zielparameter dar. Das Patientenwissen, die Patientenzufriedenheit und die Praktikabilität des EVA-Systems, sowie die Zufriedenheit der Pflegekräfte wurden mithilfe von Fragebogen evaluiert. Insgesamt wurden 2070 gültige Tablettenvergaben bei 332 Patienten in sechs verschiedenen Krankenhäusern geprüft. Es wurde in der EVA-Gruppe ein Verteilungsfehler von 1,8% und in der Kontroll-Gruppe von 0,7% ermittelt. Bei den Patienten-Fragebogen konnten insgesamt 292 Fragebogen ausgewertet werden. Die Ergebnisse zeigten einen ungenügenden Informationsstand der Patienten über ihre aktuellen, oralen Arzneimittel. In den 80 ausgefüllten Pflegekräfte-Fragebogen gaben über 80% an, dass Fehler beim Richten durch das EVA-System besser erkannt werden können. rnZusammenfassend kann gesagt werden, dass die erhöhte Fehlerrate in der EVA-Gruppe im Vergleich zur Kontroll-Gruppe durch mehrere Störfaktoren bedingt wurde. Grundsätzlich konnte eine sehr positive Resonanz auf das EVA-System bei den Patienten und den Pflegekräften beobachtet werden. rn

Outcome and patients' satisfaction after functional treatment of acute lateral ankle injuries at emergency departments versus family doctor offices

BACKGROUND: In some Western countries, more and more patients seek initial treatment even for minor injuries at emergency units of hospitals. The initial evaluation and treatment as well as aftercare of these patients require large amounts of personnel and logistical resources, which are limited and costly, especially if compared to treatment by a general practitioner. In this study, we investigated whether outsourcing from our level 1 trauma center to a general practitioner has an influence on patient satisfaction and compliance. METHODS: This prospective, randomized study, included n = 100 patients who suffered from a lateral ankle ligament injury grade I-II (16, 17). After radiological exclusion of osseous lesions, the patients received early functional treatment and were shown physical therapy exercises to be done at home, without immobilization or the use of stabilizing ortheses. The patients were randomly assigned into two groups of 50 patients each: Group A (ER): Follow-up and final examination in the hospital's emergency unit. Group B (GP): Follow-up by general practitioner, final examination at hospital's emergency unit. The patients were surveyed regarding their satisfaction with the treatment and outcome of the treatment. RESULTS: Female and male patients were equally represented in both groups. The age of the patients ranged from 16 - 64 years, with a mean age of 34 years (ER) and 35 years (GP). 98% (n = 98) of all patients were satisfied with their treatment, and 93% (n = 93) were satisfied with the outcome. For these parameters no significant difference between the two groups could be noted (p = 0.7406 and 0.7631 respectively). 39% of all patients acquired stabilizing ortheses like ankle braces (Aircast, Malleoloc etc.) on their own initiative. There was a not significant tendency for more self-acquired ortheses in the group treated by general practicioners (p = 0,2669). CONCLUSION: Patients who first present at the ER with a lateral ankle ligament injury grade I-II can be referred to a general practitioner for follow-up treatment without affecting patient satisfaction regarding treatment and treatment outcome.