SK_1 and Lie algebras

We investigate the vanishing of the group $SK_1(\Lambda (G))$ for the Iwasawa algebra $\Lambda (G)$ of a pro- $p$ $p$ -adic Lie group $G$ (with $p \ne 2$ ). We reduce this vanishing to a linear algebra problem for Lie algebras over arbitrary rings, which we solve for Chevalley orders in split reductive Lie algebras.     

On the Baire Number of the Stone Space of P({omega})/fin

We prove that it is consistent with the axioms of ZFC, relativeto the consistency of ZFC itself, that the Baire number of theStone representation space of the Boolean algebra P()/fin equalsthe distributivity number of P()/fin. This answers a questionof Balcar, Pelant and Simon in [1]. 1991 Mathematics SubjectClassification 54A25, 03E35.     

Conformational analysis of 5-H-dibenzo[a,d]cycloheptene derivatives with flexible amino-substituted side-chains by means of lanthanide induced shifts (LIS). Conformational analysis of highly flexible structures,part III

Summary TheLIS data of 5-(3-N,N-dimethylaminopropyl)-5H-dibenzo[a,d]cycloheptene (1), 5-(3-N,N-dimethyl-and 5-(3-N-methylaminopropylidene)-10,11-dihydro-5H-dibenzo[a,d]-cycloheptene (2,2a) and 5-(3-N,N-dimethylaminopropyl)-10,11-dihydro-5H-dibenzo[a,d]cycloheptene (3) were used to calculate populations of possible conformers in solution. The substrate geometries of the particular conformers were taken from force field calculations. ALIS simulation program was used which is able to handle up to four possible conformations. The limits and special features of the method for highly flexible structures — especially for the case that the coordinating group is within a flexible chain — are discussed.

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Konformationsanalyse von 5-H-Dibenzo[a,d]cyclohepten-Derivaten mit flexiblen aminosubstituierten Seitenketten mittels Lanthaniden-induzierter Verschiebungen. Konformationsanalyse hochflexibler Strukturen, 3. Mitt.

Zusammenfassung DieLIS-Werte von 5-(3-N,N-Dimethylaminopropyl)-5H-dibenzo[a,d]-cyclohepten (1), 5-(3-N,N-Dimethyl- bzw. 5-(3-N-Methylaminopropyliden)-10,11-dihydro-5H-dibenzo[a,d]-cyclohepten (2 bzw.2a) und 5-(3-N,N-Dimethylaminopropyl)-10,11-dihydro-5H-dibenzo[a,d]cyclohepten (3) wurden zur Berechnung von Populationen bevorzugter Konformerer herangezogen. Die Geometrien der einzelnen Konformeren wurden aus Force-Field-Rechnungen entnommen. Es wurde einLIS-Programm verwendet, das bei der Simulation bis zu vier Konformationen berücksichtigen kann. Die Grenzen der Anwendbarkeit der Methode — insbesondere die speziellen Probleme die auftreten, wenn die Koordinationsstelle innerhalb einer flexiblen Kette liegt — werden diskutiert.

     

Konformationsanalyse von Gallenfarbstoffen mit Hilfe von Kraftfeldrechnungen

A force field constructed for bile pigments and parametrized on partial structures of bile pigments was used to calculate the minimum energy geometries of diastereomeric bilatrienes-abc. In addition the relative energies of these isomers were deduced and the energies of interconversion between the mirror images of the more or less helical (Z,Z,Z)-syn, syn, syn-form were calculated for various paths.

     

Subgroup Theorems for Free Profinite Products with Amalgamation

Binz, Neukirch and Wenzel proved a profinite version of theKurosh subgroup theorem. In the paper a subgroup theorem forcertain profinite fundamental groups of graphs of profinitegroups is shown. In particular, the case of free products withamalgamation is discussed and illustrated in the context ofreal function fields in one variable.     

Synthesis of Side Chain Substituted 3-Butylisocoumarins and Absolute Configurations of Natural Isocoumarins from <Emphasis Type="Italic">Artemisia dracunculus</Emphasis>

Summary. A series of 3-hydroxy- and 3-bromobutyl-substituted isocoumarins was synthesized. The absolute configurations of three isocoumarin derivatives from Artemisia dracunculus, namely (–)-epoxyartemidin, (–)-2-methoxydihydroartemidin, and (+)-3-hydroxyartemidin were determined by chemical means via derivatization, kinetic racemate resolution (Horeau method), and comparison of the circular dichroism (CD) spectra.DeceasedReceived March 17, 2003; accepted March 19, 2003 Published online August 18, 2003     

Contents of Volume 138 (2003)

Volume Contents

Contents of Volume 138 (2003)     

Evading predictors with creatures

We continue the theory of evasion and prediction which was introduced by Blass and developed by Brendle, Shelah, and Laflamme. We prove that for arbitrary sufficiently different , it is consistent to have , where is the evasion number of the space . For this we apply a variant of Shelah's ``creature forcing'.

     

A new heterocyclic glucoside from the fruits of Xanthium pungens

A new thiazinedione glucoside, 7-(beta-D-glucopyranosyloxymethyl)-8,8-dimethyl-4,8-dihydrobenzo[1,4]thiazine-3,5-dione (1) and named xanthiside, was isolated from the methanol extract of the fruits of Xanthium pungens. Its structure was determined by spectroscopic techniques including, IR, CIMS, high-resolution-EIMS, and extensive 400 MHz one- and two-dimensional NMR-analysis (1H, 13C-NMR, DEPT, 1H-1H COSY, HMQC, COLOC, and NOE experiments).