Computation of locally free class groups

We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to present an algorithm that computes the locally free class group. The algorithm is implemented in MAGMA for the case where the algebra is a group ring over the rational numbers.

Church-Rosser groups and growing context-sensitive groups

A finitely generated group is called a Church-Rosser group (growing context-sensitive group) if it admits a finitely generated presentation for which the word problem is a Church-Rosser (growing context-sensitive) language. Although the Church-Rosser languages are incomparable to the context-free languages under set inclusion, they strictly contain the class of deterministic context-free languages. As each context-free group language is actually deterministic context-free, it follows that all context-free groups are Church-Rosser groups. As the free abelian group of rank 2 is a non-context-free Church-Rosser group, this inclusion is proper. On the other hand, we show that there are co-context-free groups that are not growing context-sensitive. Also some closure and non-closure properties are established for the classes of Church-Rosser and growing context-sensitive groups. More generally, we also establish some new characterizations and closure properties for the classes of Church-Rosser and growing context-sensitive languages.

Immunologisches Reaktionsvermögen als Indikator für Belastungen bei der Milchkuh

Mit ansteigenden Jahresmilchleistungen werden die Kühe einer hohen metabolischen Belastung ausgesetzt, die bei einer suboptimalen Gestaltung der Lebensbedingungen mit einer Erhöhung der Inzidenzrate von Faktorenkrankheiten einhergehen kann. Im Vordergrund der Untersuchungen stand die Frage, inwieweit metabolische Belastungszustände von Milchkühen in der Phase des Puerperiums und in Abhängigkeit von der Milchleistung sowie Belastungen durch eine klinische Erkrankung zu Beginn der Laktation mit Hilfe von Parametern der immunologischen Abwehr und der Reaktion des Immunsystems auf eine Challenge dargestellt werden können. In die Untersuchung wurden insgesamt 68 klinisch gesunde sowie 20 klinisch erkrankte Milchkühe der Rasse Holstein Friesian einbezogen. Die Untersuchungen erfolgten in den Zeiträumen 10-21 Tage sowie 14-15 Wochen nach der Kalbung. Dazu wurden an jeweils drei Untersuchungstagen (Tag 0, 2, 7) Blutproben aus der Vena jugularis entnommen. Zur Stimulierung des unspezifischen Immunsystems wurde in beiden Versuchszeiträumen an den Untersuchungstagen 0 und 2 der Paramunitätsinducer Zylexis® appliziert. Ferner wurde den Kühen zu Beginn der Laktation der Tollwutimpfstoff Rabisin® verabreicht. Für die Auswertung wurden die untersuchten Milchkühe in Gruppen unterteilt. Die klinisch gesunden Kühe wurden anhand der nach Fett und Eiweiß korrigierten 305-Tage-Leistung in die Gruppe M = mittleres Leistungsniveau (Milchmengenleistung 6.500-8.990 kg) und die Gruppe H = hohes Leistungsniveau (Milchmengenleistung 9.000-12.500 kg) aufgeteilt. Die klinisch erkrankten Kühe wurden in der Gruppe K zusammengefasst. Zur Beurteilung der Immunabwehr wurden die Parameter Phagozytoseaktivität der isolierten Neutrophilen Granulozyten, die Vollblutbakterizidie, die Lymphozytenproliferation mit den Mitogenen ConA, PHA und PWM sowie die spezifische Antikörperbildung gegen Tollwut untersucht. Anhand der Parameter Phagozytoseaktivität, Vollblutbakterizidie und Lymphozytenproliferation wurde zusätzlich die Reaktion auf die Challenge mit dem Paramunitätsinducer Zylexis® überprüft. Zur Erfassung der metabolischen Belastungszustände wurden verschiedene Stoffwechselparameter und hämatologische Parameter erfasst. Zu Beginn der Laktation konnten bei den Kühen in der mittleren und hohen Leistungsgruppe signifikant höhere Konzentrationen an ß-Hydroxybuttersäure und Freien Fettsäuren im Vergleich zu der Laktationsmitte festgestellt werden. Die Kühe mit einem hohen Leistungsniveau zeigten darüber hinaus eine signifikant höhere Bilirubinkonzentration am Laktationsanfang gegenüber der Laktationsmitte. Die mittlere Konzentration der freien Fettsäuren lag bei den Kühen in beiden Leistungsgruppen oberhalb des Referenzbereiches und wies auf eine negative Energiebilanz zu Laktationsbeginn hin. Die mittleren Konzentrationen bzw. Enzymaktivitäten der Parameter Cholesterol, Harnstoff, AST, GLDH, γ-GT, Gesamtprotein, Kalzium und Phosphor wiesen in der Laktationsmitte signifikant höhere Werte als am Laktationsanfang auf. Dabei lagen die mittleren Enzymaktivitäten von AST und GLDH sowie die Konzentrationen von Harnstoff und Gesamtprotein in der Laktationsmitte oberhalb des Referenzbereiches. Die untersuchten Stoffwechselparameter wurden durch die Challenge mit einem Paramunitätsinducer nicht signifikant beeinflusst. Hinsichtlich der Immunparameter zeigten die Milchkühe mit einem mittleren Leistungsniveau in Abhängigkeit vom Laktationszeitpunkt zu Beginn der Laktation eine signifikant höhere Phagozytoseaktivität gegenüber der Laktationsmitte (p < 0,05). Die Gruppe mit einem hohen Leistungsniveau wies dagegen keine signifikanten Unterschiede in der Phagozytoseaktivität zwischen den beiden Untersuchungszeiträumen auf. Bei den Immunparametern Vollblutbakterizidie und Lymphozytenproliferation konnten bei den Kühen beider Gruppen keine signifikanten Unterschiede in Abhängigkeit vom Laktationszeitpunkt festgestellt werden. Im Hinblick auf die Milchleistung wiesen die Kühe in den beiden Leistungsgruppen am Untersuchungstag 0 weder zu Beginn noch in der Mitte der Laktation signifikante Unterschiede bezüglich der untersuchten Immunparameter auf. Nach der Challenge durch den Paramunitätsinducer reagierten einzig die Kühe mit einer mittleren Leistung zu Beginn der Laktation auf die Challenge mit einer signifikanten Reduzierung der mittleren Phagozytoseaktivität von Tag 0 zu Tag 2 (p < 0,05). Bei den weiteren untersuchten Immunparametern konnten weder bei den Kühen mit einer mittleren noch mit einer hohen Leistung eine signifikante Reaktion auf die Challenge nachgewiesen werden. Die klinisch erkrankten Kühe zeigten im Vergleich zu den klinisch gesunden Kühen keine unterschiedlichen Konzentrationen bzw. Aktivitäten der untersuchten Stoffwechselparameter. Auch konnten anhand der immunologischen Parameter und der Reaktion auf die Challenge keine Unterschiede zwischen den klinisch gesunden Kühen festgestellt werden. Die in der vorliegenden Untersuchung geprüften metabolischen Belastungen konnten weder anhand der Immunparameter noch durch die Reaktion der Immunparameter auf eine Challenge dargestellt werden. Es wird geschlussfolgert, dass das immunologische Reaktionsvermögen nicht geeignet ist, um als Indikator für Belastungszustände bei der Milchkuh herangezogen zu werden.

Computations in Relative Algebraic K-Groups

Let G be finite group and K a number field or a p-adic field with ring of integers O_K. In the first part of the manuscript we present an algorithm that computes the relative algebraic K-group K_0(O_K[G],K) as an abstract abelian group. We solve the discrete logarithm problem, both in K_0(O_K[G],K) and the locally free class group cl(O_K[G]). All algorithms have been implemented in MAGMA for the case K = \IQ. In the second part of the manuscript we prove formulae for the torsion subgroup of K_0(\IZ[G],\IQ) for large classes of dihedral and quaternion groups.

Computation of relativistic symmetry orbitals for finite double point groups

A program is presented for the construction of relativistic symmetry-adapted molecular basis functions. It is applicable to 36 finite double point groups. The algorithm, based on the projection operator method, automatically generates linearly independent basis sets. Time reversal invariance is included in the program, leading to additional selection rules in the non-relativistic limit.

Verbal proficiency as fitness indicator: Experimental and comparative research on the evolutionary psychology of language and verbal displays

Summary: Recent research on the evolution of language and verbal displays (e.g., Miller, 1999, 2000a, 2000b, 2002) indicated that language is not only the result of natural selection but serves as a sexually-selected fitness indicator that is an adaptation showing an individual’s suitability as a reproductive mate. Thus, language could be placed within the framework of concepts such as the handicap principle (Zahavi, 1975). There are several reasons for this position: Many linguistic traits are highly heritable (Stromswold, 2001, 2005), while naturally-selected traits are only marginally heritable (Miller, 2000a); men are more prone to verbal displays than women, who in turn judge the displays (Dunbar, 1996; Locke & Bogin, 2006; Lange, in press; Miller, 2000a; Rosenberg & Tunney, 2008); verbal proficiency universally raises especially male status (Brown, 1991); many linguistic features are handicaps (Miller, 2000a) in the Zahavian sense; most literature is produced by men at reproduction-relevant age (Miller, 1999). However, neither an experimental study investigating the causal relation between verbal proficiency and attractiveness, nor a study showing a correlation between markers of literary and mating success existed. In the current studies, it was aimed to fill these gaps. In the first one, I conducted a laboratory experiment. Videos in which an actor and an actress performed verbal self-presentations were the stimuli for counter-sex participants. Content was always alike, but the videos differed on three levels of verbal proficiency. Predictions were, among others, that (1) verbal proficiency increases mate value, but that (2) this applies more to male than to female mate value due to assumed past sex-different selection pressures causing women to be very demanding in mate choice (Trivers, 1972). After running a two-factorial analysis of variance with the variables sex and verbal proficiency as factors, the first hypothesis was supported with high effect size. For the second hypothesis, there was only a trend going in the predicted direction. Furthermore, it became evident that verbal proficiency affects long-term more than short-term mate value. In the second study, verbal proficiency as a menstrual cycle-dependent mate choice criterion was investigated. Basically the same materials as in the former study were used with only marginal changes in the used questionnaire. The hypothesis was that fertile women rate high verbal proficiency in men higher than non-fertile women because of verbal proficiency being a potential indicator of “good genes”. However, no significant result could be obtained in support of the hypothesis in the current study. In the third study, the hypotheses were: (1) most literature is produced by men at reproduction-relevant age. (2) The more works of high literary quality a male writer produces, the more mates and children he has. (3) Lyricists have higher mating success than non-lyric writers because of poetic language being a larger handicap than other forms of language. (4) Writing literature increases a man’s status insofar that his offspring shows a significantly higher male-to-female sex ratio than in the general population, as the Trivers-Willard hypothesis (Trivers & Willard, 1973) applied to literature predicts. In order to test these hypotheses, two famous literary canons were chosen. Extensive biographical research was conducted on the writers’ mating successes. The first hypothesis was confirmed; the second one, controlling for life age, only for number of mates but not entirely regarding number of children. The latter finding was discussed with respect to, among others, the availability of effective contraception especially in the 20th century. The third hypothesis was not satisfactorily supported. The fourth hypothesis was partially supported. For the 20th century part of the German list, the secondary sex ratio differed with high statistical significance from the ratio assumed to be valid for a general population.

Effects of grassland conversion and tillage intensities on soil microbial biomass, residues and community structure

Agricultural intensification has a strong impact on level of soil organic matter (SOM), microbial biomass stocks and microbial community structure in agro-ecosystems. The size of the microbial necromass C pool could be about 40 times that of the living microbial biomass C pool in soils. Due to the specificity, amino sugar analysis gives more important information on the relative contribution of fungal and bacterial residues to C sequestration potential of soils. Meanwhile, the relationship between microbial biomass and microbial necromass in soil and its ecological significance on SOM are not fully understood and likely to be very complex in grassland soils. This thesis focuses on the effects of tillage, grassland conversion intensities and fertilisation on microbial biomass, residues and community structure. The combined analyses of microbial biomass and residue formation of both fungi and bacteria provided a unique opportunity to study the effect of tillage, grassland conversion and fertilisation on soil microbial dynamics. In top soil at 0-30 cm layer, a reduction in tillage intensity by the GRT and NT treatments increased the accumulation of saprotrophic fungi in comparison with the MBT treatment. In contrast, the GRT and NT treatments promoted AMF at the expense of saprotrophic fungi in the bottom soil layer at 30-40 cm depth. The negative relationship between the ergosterol to microbial biomass C ratio and the fungal C to bacterial C ratio points to the importance of the relationship between saprotrophic fungi and biotrophic AMF for tillage-induced changes in microbial turnover of SOC. One-season cultivation of winter wheat with two tillage events led to a significant loss in SOC and microbial biomass C stocks at 0-40 cm depth in comparison with the permanent grassland, even 5 years after the tillage event. However, the tillage induced loss in microbial biomass C was roughly 40% less in the long-term than in the short-term of the current experiment, indicating a recovery process during grassland restoration. In general, mould board tillage and grassland conversion to maize monoculture promoted saprotrophic fungi at the expense of biotrophic AMF and bacteria compared to undisturbed grassland soils. Slurry application promoted bacterial residues as indicated by the decreases in both, the ergosterol to microbial biomass C ratio and the fungal C to bacterial C ratio. In addition, the lost microbial functional diversity due to tillage and maize monoculture was restored by slurry application both in arable and grassland soils. I conclude that the microbial biomass C/S ratio can be used as an additional indicator for a shift in microbial community. The strong relationships between microbial biomass and necromass indices points to the importance of saprotrophic fungi and biotrophic AMF for agricultural management induced effects on microbial turnover and ecosystem C storage. Quantitative information on exact biomass estimates of these two important fungal groups in soil is inevitably necessary to understand their different roles in SOM dynamics.