Some problems in the theory of groups
<p>This work is divided into three parts, all of which are concerned with the characterisation of certain families of classical groups as doubly transitive permutation groups satisfying certain extra hypotheses.</p> <p>The first part is purely expository. It culminates in the char...
| Main Authors: | , |
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| Format: | Thesis |
| Language: | English |
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1972
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| _version_ | 1817931862916464640 |
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| author | McDonough, T McDonough, T. P. |
| author_facet | McDonough, T McDonough, T. P. |
| author_sort | McDonough, T |
| collection | OXFORD |
| description | <p>This work is divided into three parts, all of which are concerned with the characterisation of certain families of classical groups as doubly transitive permutation groups satisfying certain extra hypotheses.</p> <p>The first part is purely expository. It culminates in the characterisation andndash; due to Marggraf andndash; of the affine groups over GF(2).</p> <p>The second part deals with a characterisation of certain collineation groups of protective spaces as Jordan groups which admit a Jordan set of prime power cardinality and which have extra restrictions on some Sylow subgroups.</p> <p>The third part consists of results obtained while attempting to establish that insoluble groups of prime degree p (andgt;7), whose Sylow p-subgroups have index 3 in their normalisers, are of the form PSL(3,q), for suitable prime powers q.</p> |
| first_indexed | 2024-03-06T18:35:32Z |
| format | Thesis |
| id | oxford-uuid:0b16f0f7-e273-414b-be3f-2323767c85d4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:28:46Z |
| publishDate | 1972 |
| record_format | dspace |
| spelling | oxford-uuid:0b16f0f7-e273-414b-be3f-2323767c85d42024-12-01T11:30:19ZSome problems in the theory of groupsThesishttp://purl.org/coar/resource_type/c_db06uuid:0b16f0f7-e273-414b-be3f-2323767c85d4EnglishPolonsky Theses Digitisation Project1972McDonough, TMcDonough, T. P.<p>This work is divided into three parts, all of which are concerned with the characterisation of certain families of classical groups as doubly transitive permutation groups satisfying certain extra hypotheses.</p> <p>The first part is purely expository. It culminates in the characterisation andndash; due to Marggraf andndash; of the affine groups over GF(2).</p> <p>The second part deals with a characterisation of certain collineation groups of protective spaces as Jordan groups which admit a Jordan set of prime power cardinality and which have extra restrictions on some Sylow subgroups.</p> <p>The third part consists of results obtained while attempting to establish that insoluble groups of prime degree p (andgt;7), whose Sylow p-subgroups have index 3 in their normalisers, are of the form PSL(3,q), for suitable prime powers q.</p> |
| spellingShingle | McDonough, T McDonough, T. P. Some problems in the theory of groups |
| title | Some problems in the theory of groups |
| title_full | Some problems in the theory of groups |
| title_fullStr | Some problems in the theory of groups |
| title_full_unstemmed | Some problems in the theory of groups |
| title_short | Some problems in the theory of groups |
| title_sort | some problems in the theory of groups |
| work_keys_str_mv | AT mcdonought someproblemsinthetheoryofgroups AT mcdonoughtp someproblemsinthetheoryofgroups |