Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 7 of 7 for “"group extensions"”.
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Applications of abelian algebraic structures in quantum computation
… computers to solve problems defined on abelian groups. In this thesis, we study ways in which that ability can be leveraged in order to solve problems on more complex structures such as non-abelian groups and hypergroups. This leads to new quantum algorithms for the hidden subgroup problem on …
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Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
… dissertation is to calculate character tables of group extensions. There are several well–developed methods for calculating the character tables of group extensions. In this dissertation we study the method developed by Bernd Fischer, the so–called Fischer–Clifford matrices method, which derives …
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On the Galois Group of the 2-Class Field Towers of Some Imaginary Quadratic Fields
… field. These patterns give rise to a class of group extensions that includes each of the 3 groups. We conjecture subgroup and quotient group properties of these extensions.
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Central extensions of divisible groups
… contributes to the classification of central extensions of divisible groups with finite abelian quotient, so called ``d-ab extensions.'' We give a matrix classification of equivalence classes of d-ab extensions and explicitly provide a family of group presentations. We provide a criterion for …
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Cohomological invariants for infinite groups
… main objects of interest in this thesis are H1F-groups. These are groups that act on finite-dimensional contractible CW-spaces with finite stabilisers. Important examples of these are given by groups admitting a finite-dimensional classifying space for proper actions EFG. A large part of the …
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Design of a viable homogeneous-charge compression-ignition (HCCI) engine : a computational study with detailed chemical kinetics
… software developed in our research group. Extensions to the software were made to allow chemistry model construction for engine conditions. Model predictions for n-heptane/air combustion were compared to literature data from a jet-stirred reactor and rapid-compression machine. We …
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Simple Groups and Related Topics
… symmetric presentations of several important groups. We have investigated permutation and monomial progenitors 2<sup>*8</sup>: (2<sup>3</sup>: 2<sup>2</sup>), 2*9: (3<sup>2</sup>: 2<sup>4</sup>), 2<sup>*10</sup>: (2<sup>4</sup>: (2 × 5)), 5<sup>*4</sup>:<sub>m</sub> (2<sup>3</sup>: …