Groups of Lie type as products of SL2 subgroups
We prove that apart from the Suzuki groups, every finite simple group of Lie type of rank r over a field of q elements can be written as a product of C(r) subgroups isomorphic to SL2(q) or PSL2(q), where C(r) is a quadratic function. This has an application to the theory of expander graphs. © 2009 E...
| Príomhchruthaitheoirí: | , , |
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| Formáid: | Journal article |
| Foilsithe / Cruthaithe: |
2011
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| _version_ | 1826265947728510976 |
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| author | Liebeck, M Nikolov, N Shalev, A |
| author_facet | Liebeck, M Nikolov, N Shalev, A |
| author_sort | Liebeck, M |
| collection | OXFORD |
| description | We prove that apart from the Suzuki groups, every finite simple group of Lie type of rank r over a field of q elements can be written as a product of C(r) subgroups isomorphic to SL2(q) or PSL2(q), where C(r) is a quadratic function. This has an application to the theory of expander graphs. © 2009 Elsevier Inc. |
| first_indexed | 2024-03-06T20:31:32Z |
| format | Journal article |
| id | oxford-uuid:3136d1e6-f6f7-4a08-8b91-30dda386e49e |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:31:32Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:3136d1e6-f6f7-4a08-8b91-30dda386e49e2022-03-26T13:06:27ZGroups of Lie type as products of SL2 subgroupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3136d1e6-f6f7-4a08-8b91-30dda386e49eSymplectic Elements at Oxford2011Liebeck, MNikolov, NShalev, AWe prove that apart from the Suzuki groups, every finite simple group of Lie type of rank r over a field of q elements can be written as a product of C(r) subgroups isomorphic to SL2(q) or PSL2(q), where C(r) is a quadratic function. This has an application to the theory of expander graphs. © 2009 Elsevier Inc. |
| spellingShingle | Liebeck, M Nikolov, N Shalev, A Groups of Lie type as products of SL2 subgroups |
| title | Groups of Lie type as products of SL2 subgroups |
| title_full | Groups of Lie type as products of SL2 subgroups |
| title_fullStr | Groups of Lie type as products of SL2 subgroups |
| title_full_unstemmed | Groups of Lie type as products of SL2 subgroups |
| title_short | Groups of Lie type as products of SL2 subgroups |
| title_sort | groups of lie type as products of sl2 subgroups |
| work_keys_str_mv | AT liebeckm groupsoflietypeasproductsofsl2subgroups AT nikolovn groupsoflietypeasproductsofsl2subgroups AT shaleva groupsoflietypeasproductsofsl2subgroups |