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.
Results
Showing 1 to 4 of 4 for “"Homomorphic Image"”.
-
Homomorphic Images And Related Topics
… we add necessary relations to produce finite homomorphic images. Curtis found that any non-abelian simple group is a homomorphic image of a progenitor of the form 2<sup>*</sup><sup>n</sup>: N. In particular, we will investigate progenitors that generate two of the Mathieu sporadic groups, …
-
SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
… is to find all simple non-abelian groups as homomorphic images of permutation or monomial progenitors, as well grasping a deep understanding of group theory and extension theory to determine groups up to isomorphisms. The progenitor, developed by Robert T. Curtis, is a semi-direct product of …
-
Symmetric Presentations and Generation
… We have included their homomorphic images which include the Mathieu group <em>M</em><sub>12</sub>, 2<sup><em>•</em></sup><em>J</em><sub>2</sub>, 2<em>X</em><em>S</em>(4<em>,</em><em> </em>5), as well as, many <em>P</em><em>GL</em><em>′</em><em>s</em>, …
-
Simple Groups and Related Topics
… (2<sup>4</sup>: (2 × 5)). The finite images of the above progenitors include the Mathieu sporadic group M<sub>12</sub>, the linear groups L<sub>2</sub>(8) and L<sub>2</sub>(13), and the extensions S<sub>6</sub> × 2, 2<sup>8</sup> : .L<sub>2</sub>(8) , and 2<sup>7</sup> : …