5,951 research outputs found

    Cohomological Finiteness Properties of Groups

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    PhD thesis concerning cohomological finiteness conditions of infinite discrete groups. Much of the material in this thesis has also appeared in arXiv:1311.7629, arXiv:1310.6262, arXiv:1311.6156, and arXiv:1207.1597.Comment: PhD Thesis, University of Southampton, 178 pages, 1 figur

    The synthesis of aminophosphonic acid derivatives & related compounds

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    1-Aminoalkanephosphonic acids and their derivatives, have long been claimed to be compounds with a wide variety of application. Numerous examples exist where they have been described as: complex-forming agents with sequestrating properties, extractants, wetting agents, pharmaceutical preparations, ion exchangers, herbicides, compounds with plant growth regulatory activity; inhibitors of aminopeptidases; as structural units in peptide analogues, functioning as antibacterial agents, which inhibit bacterial cell wall biosynthesis; as structural units in peptidic phosphonylating agents that irreversibly inhibit a wide variety of serine proteases; as structural units in butyloxycarbonyl protected phosphonate esters that complex with alpha-lytic proteases; and as structural units in peptidyl phosphonate diphenyl 9 10 esters which powerfully inhibit the enzyme thrombin.

    Concerns with AED conversion: comparison of patient and physician perspectives.

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    When discussing AED conversion in the clinic, both the patient and physician perspectives on the goals and risks of this change are important to consider. To identify patient-reported and clinician-perceived concerns, a panel of epilepsy specialists was questioned about the topics discussed with patients and the clinician's perspective of patient concerns. Findings of a literature review of articles that report patient-expressed concerns regarding their epilepsy and treatment were also reviewed. Results showed that the specialist panel appropriately identified patient-reported concerns of driving ability, medication cost, seizure control, and medication side effects. Additionally, patient-reported concerns of independence, employment issues, social stigma, medication dependence, and undesirable cognitive effects are important to address when considering and initiating AED conversion

    Quasi-automorphisms of the infinite rooted 2-edge-coloured binary tree

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    We study the groupQV , the self-maps of the infinite 2-edge coloured binary tree which preserve the edge and colour relations at cofinitely many locations. We introduce related groups QF , QT , zQ T , and zQV , prove that QF , zQ T , and zQV are of type F1, and calculate finite presentations for them. We calculate the normal subgroup structure of all 5 groups, the Bieri-Neumann-Strebel-Renz invariants of QF , and discuss the relationship of all 5 groups with other generalisations of Thompson's groups.</p
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