Sums of prime element orders in finite groups
Let G be a finite group and $\psi _*(G)$ denote the sum of prime element orders of G. This paper presents some properties of $\psi _*$ and investigate the minimum value and the maximum value of $\psi _*$ on the set of groups of the same order.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2018-05-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2018.1468398 |
| _version_ | 1819054331524022272 |
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| author | C. Beddani W. Messirdi |
| author_facet | C. Beddani W. Messirdi |
| author_sort | C. Beddani |
| collection | DOAJ |
| description | Let G be a finite group and $\psi _*(G)$ denote the sum of prime element orders of G. This paper presents some properties of $\psi _*$ and investigate the minimum value and the maximum value of $\psi _*$ on the set of groups of the same order. |
| first_indexed | 2024-12-21T12:49:56Z |
| format | Article |
| id | doaj.art-be384424f08c4b4fbf1d4e7a2762bca6 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-21T12:49:56Z |
| publishDate | 2018-05-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-be384424f08c4b4fbf1d4e7a2762bca62022-12-21T19:03:31ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552018-05-0112329429810.1080/16583655.2018.14683981468398Sums of prime element orders in finite groupsC. Beddani0W. Messirdi1Taibah UniversityTaibah UniversityLet G be a finite group and $\psi _*(G)$ denote the sum of prime element orders of G. This paper presents some properties of $\psi _*$ and investigate the minimum value and the maximum value of $\psi _*$ on the set of groups of the same order.http://dx.doi.org/10.1080/16583655.2018.1468398Finite groupscyclic groupsnilpotent groups |
| spellingShingle | C. Beddani W. Messirdi Sums of prime element orders in finite groups Journal of Taibah University for Science Finite groups cyclic groups nilpotent groups |
| title | Sums of prime element orders in finite groups |
| title_full | Sums of prime element orders in finite groups |
| title_fullStr | Sums of prime element orders in finite groups |
| title_full_unstemmed | Sums of prime element orders in finite groups |
| title_short | Sums of prime element orders in finite groups |
| title_sort | sums of prime element orders in finite groups |
| topic | Finite groups cyclic groups nilpotent groups |
| url | http://dx.doi.org/10.1080/16583655.2018.1468398 |
| work_keys_str_mv | AT cbeddani sumsofprimeelementordersinfinitegroups AT wmessirdi sumsofprimeelementordersinfinitegroups |