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 “"symmetric presentations"”.
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Symmetric Presentations and Generation
<p>The aim of this thesis is to generate original symmetric presentations for finite non-abelian simple groups. We will discuss many permutation progenitors, including but not limited to 2<sup>*14</sup> : <em>D</em><sub>28</sub>, 2<sup><em>∗</em>9</sup> : 3<sup><em>•</em></sup>(3<sup>2</sup>), …
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SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS
… respectively. We have discovered new symmetric presentations of several finite nonabelian simple groups including linear groups, unitary groups, orthogonal groups, and sporadic groups. We have constructed interesting groups found using the technique of double coset enumeration and …
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SYMMETRIC PRESENTATIONS AND RELATED TOPICS
… this thesis, we have presented our discovery of symmetric presentations of a number of non-abelian simple groups, including the Mathieu group M<sub>12</sub>. We have given several progenitors, permutation and monomial, including 2*<sup>4</sup>:(2<sup>2</sup>:3), 2*<sup>5</sup>:D<sub>10</sub>, …
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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
<p>The goal of this thesis is to show constructions of some of the sporadic groups such as the Mathieu group, M<sub>12</sub>, J<sub>1</sub>, Projective Special Linear groups, PSL(2,8), and PSL(2,11), Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple …
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On the symmetric generation of finite groups
… some uses and applications of the techniques in Symmetric generation. In Chapter 1 we introduce the notions of symmetric generation. In Chapter 2 we discuss symmetric presentations defined by symmetric generating sets that are preserved by a group acting on them transitively but imprimitively. In …
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CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES
… </sub>D<sub>10</sub>. We have given delightful symmetric presentations and very nice permutation representations of these images which include, the Mathieu groups M<sub>11</sub>, M<sub>12</sub>, the 4-fold cover of the Mathieu group M<sub>22</sub>, 2 x L<sub>2</sub>(8), and L<sub>2</sub>(13). …
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Simple Groups and Related Topics
… thesis, we will give our discovery of original 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)), …