998 resultados para CHOLESTERIC MESOPHASE PROPERTIES


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Magdeburg, Univ., Fak. für Informatik, Diss., 2012

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Magdeburg, Univ., Fak. für Maschinenbau, Diss., 2009

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Magdeburg, Univ., Fak. für Maschinenbau, Diss., 2013

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Magdeburg, Univ., Fak. für Informatik, Diss., 2015

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Magdeburg, Univ., Fak. für Elektrotechnik und Informationstechnik, Diss., 2015

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We discuss metric and combinatorial properties of Thompson's group T, such as the normal forms for elements and uniqueness of tree pair diagrams. We relate these properties to those of Thompson's group F when possible, and highlight combinatorial differences between the two groups. We define a set of unique normal forms for elements of T arising from minimal factorizations of elements into convenient pieces. We show that the number of carets in a reduced representative of T estimates the word length, that F is undistorted in T, and that cyclic subgroups of T are undistorted. We show that every element of T has a power which is conjugate to an element of F and describe how to recognize torsion elements in T.

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We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup.