Quivers and the modular representation theory of finite groups
<p>The purpose of this thesis is to discuss the rôle of certain types of quiver which appear in the modular representation theory of finite groups. It is our concern to study two different types of quiver. First of all we construct the ordinary quiver of certain blocks of defect 2 of the symm...
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| Format: | Thesis |
| Language: | English |
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1988
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| _version_ | 1797070217296216064 |
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| author | Martin, S Stuart Martin |
| author2 | Erdmann, K |
| author_facet | Erdmann, K Martin, S Stuart Martin |
| author_sort | Martin, S |
| collection | OXFORD |
| description | <p>The purpose of this thesis is to discuss the rôle of certain types of quiver which appear in the modular representation theory of finite groups. It is our concern to study two different types of quiver. First of all we construct the ordinary quiver of certain blocks of defect 2 of the symmetric group, and then apply our results to the alternating group and to the theory of partitions. Secondly, we consider connected components of the stable Auslander-Reiten quiver of certain groups G with normal subgroup N. The main interest lies in comparing the tree class of components of N-modules, with the tree class of components of these modules induced up to G.</p> |
| first_indexed | 2024-03-06T22:35:44Z |
| format | Thesis |
| id | oxford-uuid:59d4dc72-60e5-4424-9e3c-650eb2b1d050 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:35:44Z |
| publishDate | 1988 |
| record_format | dspace |
| spelling | oxford-uuid:59d4dc72-60e5-4424-9e3c-650eb2b1d0502022-03-26T17:12:04ZQuivers and the modular representation theory of finite groupsThesishttp://purl.org/coar/resource_type/c_db06uuid:59d4dc72-60e5-4424-9e3c-650eb2b1d050Finite groupsRepresentations of groupsGroup theoryEnglishPolonsky Theses Digitisation Project1988Martin, SStuart MartinErdmann, KErdmann, K<p>The purpose of this thesis is to discuss the rôle of certain types of quiver which appear in the modular representation theory of finite groups. It is our concern to study two different types of quiver. First of all we construct the ordinary quiver of certain blocks of defect 2 of the symmetric group, and then apply our results to the alternating group and to the theory of partitions. Secondly, we consider connected components of the stable Auslander-Reiten quiver of certain groups G with normal subgroup N. The main interest lies in comparing the tree class of components of N-modules, with the tree class of components of these modules induced up to G.</p> |
| spellingShingle | Finite groups Representations of groups Group theory Martin, S Stuart Martin Quivers and the modular representation theory of finite groups |
| title | Quivers and the modular representation theory of finite groups |
| title_full | Quivers and the modular representation theory of finite groups |
| title_fullStr | Quivers and the modular representation theory of finite groups |
| title_full_unstemmed | Quivers and the modular representation theory of finite groups |
| title_short | Quivers and the modular representation theory of finite groups |
| title_sort | quivers and the modular representation theory of finite groups |
| topic | Finite groups Representations of groups Group theory |
| work_keys_str_mv | AT martins quiversandthemodularrepresentationtheoryoffinitegroups AT stuartmartin quiversandthemodularrepresentationtheoryoffinitegroups |