Groups
In this subdiscipline:
649 papers
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The decomposition of unitary representations of a discrete group obtained by induction from a subgroup involves commensurators. In particular Mackey has shown that quasi-regular representations are irreducible if and only if the corresponding…
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Cancer commonly occurs in elderly patients. Treatment of cancer in this population is complex as the physiologic changes of aging impact treatment decisions, tolerance, and outcomes. A comprehensive geriatric assessment (CGA) is an objective means…
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We prove that two Artin groups of spherical type are isomorphic if and only if their defining Coxeter graphs are the same.
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Investigators have modeled oceanic and atmospheric vortices in the laboratory in a number of different ways, employing background rotation, density effects, and geometrical confinement. In this article, we address barotropic vortices in a rotating…
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In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable…
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An early version of these notes was prepared for use by the participants in the Workshop on Algebra, Geometry and Topology held at the Australian National University, 22 January to 9 February, 1996. They have subsequently been updated and expanded…
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... Page 8. 322 RONALD SOLOMON ... However, although this yielded a rich harvest of new finite simple groups and a unified context for the study of their subgroups and representations, it did not immediately suggest a strategy for their…
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Given a finite metric, one can construct its tight span, a geometric object representing the metric. The dimension of a tight span encodes, among other things, the size of the space of explanatory trees for that metric; for instance, if the metric…
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Let K 1 be a parameter. A K-approximate group is a finite set A in a (local) group which contains the identity, is symmetric, and such that A 2 is covered by K left translates of A. The main result of this paper is a qualitative description of…
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Consider the unit ball, B = D times 0,1, containing n unknotted arcs a1, a2, ..., an such that the boundary of each ai lies in D times 0. The Hilden (or Wicket) group is the mapping class group of B fixing the arcs a1 cup a2 cup ... cup an setwise…
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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general…
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Suppose a group representationH = is aspherical,x ,W( x) is a word in alphabet x) 1with nonzero sum of exponents onx, and the groupHnaturally embeds inG = x W( x). It is conjectured that the presentationG = x W( x) is aspherical if and only ifGis…
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Post DocZurich, Switzerland -
Ph.D. StudentNewcastle University - University of Newcastle -
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Ph.D. StudentHeidelberg, Germany
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Post Doc