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 |
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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 |
| Summary: | 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. |
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| ISSN: | 1658-3655 |