On a question of permutation groups acting on the power set
In this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-02-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2024-0109 |
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| _version_ | 1823860475850391552 |
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| author | Li Jinbao Yang Yong You Mengxi |
| author_facet | Li Jinbao Yang Yong You Mengxi |
| author_sort | Li Jinbao |
| collection | DOAJ |
| description | In this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set. |
| format | Article |
| id | doaj-art-1139522a4baa4624a2bb00872966f229 |
| institution | Kabale University |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-1139522a4baa4624a2bb00872966f2292025-02-10T13:24:35ZengDe GruyterOpen Mathematics2391-54552025-02-01231354210.1515/math-2024-0109On a question of permutation groups acting on the power setLi Jinbao0Yang Yong1You Mengxi2Department of Mathematics, Suqian University, Jiangsu 223800, P. R. ChinaDepartment of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, USACollege of Science, China Three Gorges University, Yichang, Hubei 443002, P. R. ChinaIn this work, we settle a conjecture about the number of set-orbits of permutation group acting on the power set.https://doi.org/10.1515/math-2024-0109permutation groupset-orbits20b05 |
| spellingShingle | Li Jinbao Yang Yong You Mengxi On a question of permutation groups acting on the power set Open Mathematics permutation group set-orbits 20b05 |
| title | On a question of permutation groups acting on the power set |
| title_full | On a question of permutation groups acting on the power set |
| title_fullStr | On a question of permutation groups acting on the power set |
| title_full_unstemmed | On a question of permutation groups acting on the power set |
| title_short | On a question of permutation groups acting on the power set |
| title_sort | on a question of permutation groups acting on the power set |
| topic | permutation group set-orbits 20b05 |
| url | https://doi.org/10.1515/math-2024-0109 |
| work_keys_str_mv | AT lijinbao onaquestionofpermutationgroupsactingonthepowerset AT yangyong onaquestionofpermutationgroupsactingonthepowerset AT youmengxi onaquestionofpermutationgroupsactingonthepowerset |