{"id":{"repo_id":"csusb","oai_identifier":"oai:scholarworks.lib.csusb.edu:etd-1096"},"canonical_url":"https://search.dev.ndltd.org/etd/csusb/oai:scholarworks.lib.csusb.edu:etd-1096","repository":{"repo_id":"csusb","name":"CSUniversity San Bernardino","base_url":"https://scholarworks.lib.csusb.edu/do/oai/"},"display":{"title":"Homormophic Images and their Isomorphism Types","abstract":"<p>In this thesis we have presented original homomorphic images of permutations and monomial 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 two sporadic simple groups J<sub>1</sub> and J<sub>2</sub>X2 where J<sub>1</sub> is the smallest Janko group and J<sub>2</sub> is the second Janko sporadic group.</p>","abstract_html":"&lt;p&gt;In this thesis we have presented original homomorphic images of permutations and monomial 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 two sporadic simple groups J&lt;sub&gt;1&lt;/sub&gt; and J&lt;sub&gt;2&lt;/sub&gt;X2 where J&lt;sub&gt;1&lt;/sub&gt; is the smallest Janko group and J&lt;sub&gt;2&lt;/sub&gt; is the second Janko sporadic group.&lt;/p&gt;","abstract_has_math":false,"creators":["Herrera, Diana"],"institution":null,"degree_name":"Master of Arts in Mathematics","degree_level":"Thesis","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Dr. Zahid Hasan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-06-01T07:00:00Z","date_published":"2014-06-01T07:00:00Z","updated_at":"2026-07-24T01:52:37Z","subjects":["homomorphic images of permutations and monomial progenitors","Algebra"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.lib.csusb.edu/etd/37","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dr. Zahid Hasan"]},{"key":"dc:creator","label":"Author","values":["Herrera, Diana"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2014-05-16T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Arts in Mathematics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["homomorphic images of permutations and monomial progenitors","Algebra"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.lib.csusb.edu/etd/37"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>In this thesis we have presented original homomorphic images of permutations and monomial 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 two sporadic simple groups J<sub>1</sub> and J<sub>2</sub>X2 where J<sub>1</sub> is the smallest Janko group and J<sub>2</sub> is the second Janko sporadic group.</p>"]},{"key":"dc:title","label":"Title","values":["Homormophic Images and their Isomorphism Types"]}]}],"canonical_facts":{"dc:contributor":["Dr. Zahid Hasan"],"dc:creator":["Herrera, Diana"],"dc:date.available":["2014-05-16T07:00:00Z"],"dc:description.abstract":["<p>In this thesis we have presented original homomorphic images of permutations and monomial 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 two sporadic simple groups J<sub>1</sub> and J<sub>2</sub>X2 where J<sub>1</sub> is the smallest Janko group and J<sub>2</sub> is the second Janko sporadic group.</p>"],"dc:identifier":["https://scholarworks.lib.csusb.edu/etd/37"],"dc:subject":["homomorphic images of permutations and monomial progenitors","Algebra"],"dc:title":["Homormophic Images and their Isomorphism Types"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Arts in Mathematics"]},"updated_at":"2026-07-24T01:52:37Z"}