302 research outputs found

    Acylindrically hyperbolic groups with exotic properties

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    We prove that every countable family of countable acylindrically hyperbolic groups has a common finitely generated acylindrically hyperbolic quotient. As an application, we obtain an acylindrically hyperbolic group QQ with strong fixed point properties: QQ has property FLpFL^p for all p[1,+)p\in [1, +\infty), and every action of QQ on a finite dimensional contractible topological space has a fixed point. In addition, QQ has other properties which are rather unusual for groups exhibiting "hyperbolic-like" behaviour. E.g., QQ is not uniformly non-amenable and has finite generating sets with arbitrary large balls consisting of torsion elements

    Synthetic Approaches to Novel Pyridine and Indole Derivatives as Potential Agents for the Treatment of Neurodegenerative Disorders

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    Alzheimer’s Disease (AD), Parkinson’s Disease (PD) and Lewy Body Disease (LBD) are some of the many neurodegenerative disorders associated with dementia, for which there is no ultimate cure. It is widely accepted that central nervous system (CNS) nicotinic acetylcholine receptors (nAChRs) may be strongly implicated in the pathology of these devastating disorders, and that stimulation of nAChRs can enhance cognitive behaviour in animals and humans. Nicotine and other nicotinic receptor binding compounds have, over many years, been explored as potential therapies for disorders such as AD and PD. This thesis describes the preparation and pharmacological investigation of a series of 3- substituted and 3,5-disubstitued pyridine derivatives as potential novel and selective nictotinic receptor agonists. Chapter Two details the synthesis of targeted compounds using the generation of [(pyridin-3-yl)methyl]lithium and [(5-methylpyridin-3- yl)methyl]lithium, respectively and subsequent reaction with various electrophiles. Unsuccessful attempts at the synthesis of enantiomerically pure 4-substituted arylpyridin-3-yl-ethanol derivatives by reduction of prochiral 4-substituted arylpyridin-3-yl-ethanone derivatives were made using both catalytic and enzymatic approaches; however, a pair of enantiomerically pure alcohols were isolated via the resolution of diastereomeric esters (prepared by reaction with (S)-O-acetyl mandelic acid) and subsequent hydrolysis. iv Chapter Three explores the synthesis of targeted compounds using halogen-lithium exchange reactions of 3-bromopyridine using n-BuLi and ring-opening by the resultant pyridin-3-yllithium of 4-substituted aryl epoxides. As an extension, Sonogashira cross-coupling of 3- bromopyridine and 4-substituted arylacetylenes and subsequent hydration as an approach to 4-substituted pyridin-3-yl-ethanone derivatives is described. A series of indole derivatives were synthesised using identical approaches. Using methodology developed in previous Chapters, Chapter Four describes approaches to symmetrical and asymmetrical 3,5- bis(arylethynyl)pyridine derivatives, the corresponding bis(ketones), alcohols and 3,5-disubstituted keto-alcohol products. Chapter Five details preliminary pharmacological data (binding and functional assays) performed by our collaborators at Institut de Recherches Servier

    Social guarantees of the status of disabled in constitutional texts of the CIS countries

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    In the article, based on the analysis of constitutional texts of CIS countries to reflect the social guarantees of persons with disabilities in them, the socially-guaranteeing and social-status models of such consolidation are identifie

    Logical classification of legal procedural restrictions

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    This paper on the basis of analytical and synthesis research of a wide range of sources presents an approach to the classification of legal procedural restrictions, based on the division of the object by the modification of the feature at the basis of such divisio

    Automorphisms of Partially Commutative Groups II: Combinatorial Subgroups

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    We define several "standard" subgroups of the automorphism group Aut(G) of a partially commutative (right-angled Artin) group and use these standard subgroups to describe decompositions of Aut(G). If C is the commutation graph of G, we show how Aut(G) decomposes in terms of the connected components of C: obtaining a particularly clear decomposition theorem in the special case where C has no isolated vertices. If C has no vertices of a type we call dominated then we give a semi-direct decompostion of Aut(G) into a subgroup of locally conjugating automorphisms by the subgroup stabilising a certain lattice of "admissible subsets" of the vertices of C. We then characterise those graphs for which Aut(G) is a product (not necessarily semi-direct) of two such subgroups.Comment: 7 figures, 63 pages. Notation and definitions clarified and typos corrected. 2 new figures added. Appendix containing details of presentation and proof of a theorem adde

    Legal form of action: the issues of content and methodology

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    Based on the examination of a wide range of sources, this paper presents the author’s opinion on certain essential characteristics of the legal form of action in the context of the general theory of law and the state. This work outlines and systematically studies procedural proceedings, procedural stages, and procedural regime as the fundamental components, which are essential for the knowledge of the content of the legal form of actio
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