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Showing 1 to 9 of 9 for “"double coset enumeration"”.

  1. Homormophic Images and their Isomorphism Types

    Herrera, Diana2014

    … progenitors. In some cases we have used the double coset enumeration tech- nique to construct the images and for all of the homomorphic images that we have discovered, the isomorphism type of each group is given. The homomorphic images discovered include Linear groups, Alternating groups, and …

    csusb Repository record

  2. SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS

    Gomez, David R, Jr2014

    … interesting groups found using the technique of double coset enumeration and found the isomorphic types of the numerous groups that appeared as homorphic images. These include the sympletic group, S_4(5) and the Janko groups, J_2 and J_1 which were found using a variety of different control …

    csusb Repository record

  3. Progenitors Related to Simple Groups

    Valencia, Elissa Marie2015

    … and 2 x [(3 x L(2,11)):2] using the process of double coset enumeration.</p>

    csusb Repository record

  4. Homomorphic Images And Related Topics

    Baccari, Kevin J2015

    … of different ways, including the process of double coset enumeration, Iwasawa's Lemma, and linear fractional mappings. We will also investigate the various techniques of finding finite images and their corresponding isomorphism types.</p>

    csusb Repository record

  5. SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS

    Lamp, Leonard B2015

    … Sporadic simple groups. Then the algorithm for double coset enumeration together with the first isomorphic theorem aids us in proving the homomorphic image of the group we have constructed. After being presented with a group G, we then compute the composition series to solve extension problems. …

    csusb Repository record

  6. SYMMETRIC PRESENTATIONS AND RELATED TOPICS

    Alharbi, Mashael U2015

    … by hand constructions, using the technique of double coset enumeration, are given for the groups L<sub>2</sub>(11)X3, L<sub>2</sub>(11), PGL<sub>2</sub>(11), S<sub>5</sub>,(A<sub>5</sub>XA<sub>5</sub>):4, A<sub>7</sub>, and 3<sup>7</sup>:L<sub>2</sub>(7).</p>

    csusb Repository record

  7. CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES

    Ramirez, Jessica Luna2015

    … given constructions, by using the technique of double coset enumeration, for some of the images, including M<sub>11</sub> and M<sub>12</sub>. We have given proofs, either by hand or computer-based, of the isomorphism type of each image. In addition, we use Iwasawa's Lemma to prove that …

    csusb Repository record

  8. Simple Groups and Related Topics

    Marouf, Manal Abdulkarim, Ms.2015

    … 2, and S<sub>5</sub>, by using the technique of double coset enumeration. We will also provide isomorphism types all of the groups that have appeared as finite homomorphic images. We will show that the group L<sub>2</sub>(8) does not satisfy the conditions of Iwasawas Lemma and that the group …

    csusb Repository record

  9. Symmetric Presentations and Generation

    Grindstaff, Dustin J2015

    … types of each progenitor, either by hand using double coset enumeration or computer based using MAGMA. We have also constructed Cayley graphs of the following groups, 2<sup>5</sup> : <em>S</em><sub>5</sub> over 2<sup><em>∗</em>5</sup> : <em>S</em><sub>5</sub>, …

    csusb Repository record