Flag-Transitive 2-Designs and Mathieu Group M12
In this paper, we announce the completion of the search for all flag-transitive point-primitive nontrivial 2-designs with M12 as the socle of their automorphism groups, and we discover that there are exactly nine of these nonisomorphic 2-designs. This paper enriches the classification of 2-designs a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/2866118 |
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| _version_ | 1849242734564474880 |
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| author | Delu Tian Zhilin Zhang Yajie Wang |
| author_facet | Delu Tian Zhilin Zhang Yajie Wang |
| author_sort | Delu Tian |
| collection | DOAJ |
| description | In this paper, we announce the completion of the search for all flag-transitive point-primitive nontrivial 2-designs with M12 as the socle of their automorphism groups, and we discover that there are exactly nine of these nonisomorphic 2-designs. This paper enriches the classification of 2-designs and provides valuable references for addressing the classification of designs under the action of other simple groups. |
| format | Article |
| id | doaj-art-43b84a4e1f8f4db4984d4170ebb44417 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-43b84a4e1f8f4db4984d4170ebb444172025-08-20T03:59:44ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/2866118Flag-Transitive 2-Designs and Mathieu Group M12Delu Tian0Zhilin Zhang1Yajie Wang2School of MathematicsSchool of Statistics and MathematicsSchool of Mathematics and Information ScienceIn this paper, we announce the completion of the search for all flag-transitive point-primitive nontrivial 2-designs with M12 as the socle of their automorphism groups, and we discover that there are exactly nine of these nonisomorphic 2-designs. This paper enriches the classification of 2-designs and provides valuable references for addressing the classification of designs under the action of other simple groups.http://dx.doi.org/10.1155/jom/2866118 |
| spellingShingle | Delu Tian Zhilin Zhang Yajie Wang Flag-Transitive 2-Designs and Mathieu Group M12 Journal of Mathematics |
| title | Flag-Transitive 2-Designs and Mathieu Group M12 |
| title_full | Flag-Transitive 2-Designs and Mathieu Group M12 |
| title_fullStr | Flag-Transitive 2-Designs and Mathieu Group M12 |
| title_full_unstemmed | Flag-Transitive 2-Designs and Mathieu Group M12 |
| title_short | Flag-Transitive 2-Designs and Mathieu Group M12 |
| title_sort | flag transitive 2 designs and mathieu group m12 |
| url | http://dx.doi.org/10.1155/jom/2866118 |
| work_keys_str_mv | AT delutian flagtransitive2designsandmathieugroupm12 AT zhilinzhang flagtransitive2designsandmathieugroupm12 AT yajiewang flagtransitive2designsandmathieugroupm12 |