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Reduced fusion systems over 2-groups of sectional rank at most 4
The author classifies all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But this method of proof is very different from theirs, and is ba...
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| Lenguaje: | eng |
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American Mathematical Society
2016
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| Acceso en línea: | http://cds.cern.ch/record/2622891 |
| _version_ | 1780958621253763072 |
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| author | Oliver, Bob |
| author_facet | Oliver, Bob |
| author_sort | Oliver, Bob |
| collection | CERN |
| description | The author classifies all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems. |
| id | cern-2622891 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2016 |
| publisher | American Mathematical Society |
| record_format | invenio |
| spelling | cern-26228912021-04-21T18:48:15Zhttp://cds.cern.ch/record/2622891engOliver, BobReduced fusion systems over 2-groups of sectional rank at most 4Mathematical Physics and MathematicsThe author classifies all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.American Mathematical Societyoai:cds.cern.ch:26228912016 |
| spellingShingle | Mathematical Physics and Mathematics Oliver, Bob Reduced fusion systems over 2-groups of sectional rank at most 4 |
| title | Reduced fusion systems over 2-groups of sectional rank at most 4 |
| title_full | Reduced fusion systems over 2-groups of sectional rank at most 4 |
| title_fullStr | Reduced fusion systems over 2-groups of sectional rank at most 4 |
| title_full_unstemmed | Reduced fusion systems over 2-groups of sectional rank at most 4 |
| title_short | Reduced fusion systems over 2-groups of sectional rank at most 4 |
| title_sort | reduced fusion systems over 2-groups of sectional rank at most 4 |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/2622891 |
| work_keys_str_mv | AT oliverbob reducedfusionsystemsover2groupsofsectionalrankatmost4 |