The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
We calculate the character table of a sharply 5-transitive subgroup of \alter(12), and of a sharply 4-transitive subgroup of \alter(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character ta...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
University of Isfahan
2021
|
| _version_ | 1797060353104805888 |
|---|---|
| author | Gill, N Hughes, S |
| author_facet | Gill, N Hughes, S |
| author_sort | Gill, N |
| collection | OXFORD |
| description | We calculate the character table of a sharply 5-transitive subgroup of \alter(12), and of a sharply 4-transitive subgroup of \alter(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations. |
| first_indexed | 2024-03-06T20:15:54Z |
| format | Journal article |
| id | oxford-uuid:2c230a1d-21a9-48e9-99e2-76831f1c4d55 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:15:54Z |
| publishDate | 2021 |
| publisher | University of Isfahan |
| record_format | dspace |
| spelling | oxford-uuid:2c230a1d-21a9-48e9-99e2-76831f1c4d552022-03-26T12:35:10ZThe character table of a sharply 5-transitive subgroup of the alternating group of degree 12Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2c230a1d-21a9-48e9-99e2-76831f1c4d55EnglishSymplectic ElementsUniversity of Isfahan2021Gill, NHughes, SWe calculate the character table of a sharply 5-transitive subgroup of \alter(12), and of a sharply 4-transitive subgroup of \alter(11). Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups, and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations. |
| spellingShingle | Gill, N Hughes, S The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 |
| title | The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 |
| title_full | The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 |
| title_fullStr | The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 |
| title_full_unstemmed | The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 |
| title_short | The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 |
| title_sort | character table of a sharply 5 transitive subgroup of the alternating group of degree 12 |
| work_keys_str_mv | AT gilln thecharactertableofasharply5transitivesubgroupofthealternatinggroupofdegree12 AT hughess thecharactertableofasharply5transitivesubgroupofthealternatinggroupofdegree12 AT gilln charactertableofasharply5transitivesubgroupofthealternatinggroupofdegree12 AT hughess charactertableofasharply5transitivesubgroupofthealternatinggroupofdegree12 |