Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q
Assume that G is a finite group. It is widely known that G and the number of elements of maximal order in G have something to do with the structure of G. This subject is related to Thompson’s conjecture. In the present paper, we give a complete classification of the groups with the same order and th...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2631906 |
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| author | Qingliang Zhang |
| author_facet | Qingliang Zhang |
| author_sort | Qingliang Zhang |
| collection | DOAJ |
| description | Assume that G is a finite group. It is widely known that G and the number of elements of maximal order in G have something to do with the structure of G. This subject is related to Thompson’s conjecture. In the present paper, we give a complete classification of the groups with the same order and the same number of elements of maximal order as L2q, where q=7,17. |
| format | Article |
| id | doaj-art-34675555741e4a5c92828d45adca7fc1 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-34675555741e4a5c92828d45adca7fc12025-02-03T01:20:36ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2631906Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2qQingliang Zhang0Jiangsu College of Engineering and TechnologyAssume that G is a finite group. It is widely known that G and the number of elements of maximal order in G have something to do with the structure of G. This subject is related to Thompson’s conjecture. In the present paper, we give a complete classification of the groups with the same order and the same number of elements of maximal order as L2q, where q=7,17.http://dx.doi.org/10.1155/2022/2631906 |
| spellingShingle | Qingliang Zhang Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q Journal of Mathematics |
| title | Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q |
| title_full | Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q |
| title_fullStr | Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q |
| title_full_unstemmed | Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q |
| title_short | Finite Groups with the Same Order and the Same Number of Elements of Maximal Order as the Projective Special Linear Group L2q |
| title_sort | finite groups with the same order and the same number of elements of maximal order as the projective special linear group l2q |
| url | http://dx.doi.org/10.1155/2022/2631906 |
| work_keys_str_mv | AT qingliangzhang finitegroupswiththesameorderandthesamenumberofelementsofmaximalorderastheprojectivespeciallineargroupl2q |