Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗
Let G be a finite group. We know that the order of G and the number of elements of maximal order in G are closely related to the structure of G. This topic involves Thompson’s conjecture. In this paper, we classify the finite groups of order p2qr in which the number of elements of maximal order is p...
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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/10.1155/2022/2294627 |
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| author | Qingliang Zhang Liang Xu |
| author_facet | Qingliang Zhang Liang Xu |
| author_sort | Qingliang Zhang |
| collection | DOAJ |
| description | Let G be a finite group. We know that the order of G and the number of elements of maximal order in G are closely related to the structure of G. This topic involves Thompson’s conjecture. In this paper, we classify the finite groups of order p2qr in which the number of elements of maximal order is p3q, where p<q<r are different primes. |
| format | Article |
| id | doaj-art-00e01f864ccd446787f3aff7d45297b7 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-00e01f864ccd446787f3aff7d45297b72025-02-03T01:10:19ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2294627Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗Qingliang Zhang0Liang Xu1Jiangsu College of Engineering and TechnologyJiangsu College of Engineering and TechnologyLet G be a finite group. We know that the order of G and the number of elements of maximal order in G are closely related to the structure of G. This topic involves Thompson’s conjecture. In this paper, we classify the finite groups of order p2qr in which the number of elements of maximal order is p3q, where p<q<r are different primes.http://dx.doi.org/10.1155/2022/2294627 |
| spellingShingle | Qingliang Zhang Liang Xu Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗ Journal of Mathematics |
| title | Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗ |
| title_full | Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗ |
| title_fullStr | Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗ |
| title_full_unstemmed | Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗ |
| title_short | Finite Groups of Order p2qr in which the Number of Elements of Maximal Order Is p3q∗ |
| title_sort | finite groups of order p2qr in which the number of elements of maximal order is p3q∗ |
| url | http://dx.doi.org/10.1155/2022/2294627 |
| work_keys_str_mv | AT qingliangzhang finitegroupsoforderp2qrinwhichthenumberofelementsofmaximalorderisp3q AT liangxu finitegroupsoforderp2qrinwhichthenumberofelementsofmaximalorderisp3q |