{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21252"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21252","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On the nilpotent injectors of the general linear groups","abstract":"A nilpotent injector in an arbitrary finite group G is defined to be a maximal nilpotent subgroup of G, containing a subgroup H of G of maximal order satisfying class(H) $\\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order.","abstract_html":"A nilpotent injector in an arbitrary finite group G is defined to be a maximal nilpotent subgroup of G, containing a subgroup H of G of maximal order satisfying class(H) $\\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order.","abstract_has_math":true,"creators":["Sheu, Tsung-Luen"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Rotman, Joseph J."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:03:03Z","date_published":"2011-05-07T13:03:03Z","updated_at":"2026-07-22T22:25:17Z","subjects":["Mathematics"],"languages":["eng"],"rights":["Copyright 1989 Sheu, Tsung-Luen"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9011019","(UMI)AAI9011019"],"render_values":[{"text":"AAI9011019","href":null,"code":true},{"text":"(UMI)AAI9011019","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21252","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Rotman, Joseph J."]},{"key":"dc:creator","label":"Author","values":["Sheu, Tsung-Luen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:03:03Z","10000-01-01","1989"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1989 Sheu, Tsung-Luen"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9011019","(UMI)AAI9011019","http://hdl.handle.net/2142/21252"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A nilpotent injector in an arbitrary finite group G is defined to be a maximal nilpotent subgroup of G, containing a subgroup H of G of maximal order satisfying class(H) $\\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order.","Made available in DSpace on 2011-05-07T13:03:03Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9011019.pdf: 2211427 bytes, checksum: 829a8140d51da87da44b206b0cbcd0b4 (MD5) Previous issue date: 1989","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:49:31Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:22:32-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["On the nilpotent injectors of the general linear groups"]}]}],"canonical_facts":{"dc:contributor":["Rotman, Joseph J."],"dc:creator":["Sheu, Tsung-Luen"],"dc:date":["2011-05-07T13:03:03Z","10000-01-01","1989"],"dc:description":["A nilpotent injector in an arbitrary finite group G is defined to be a maximal nilpotent subgroup of G, containing a subgroup H of G of maximal order satisfying class(H) $\\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order.","Made available in DSpace on 2011-05-07T13:03:03Z (GMT). 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