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Alireza Khalili Asboei and
Habib Rahimi Esbo
On the sum of the inverses of element orders of PSL(2,7)
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| Published: |
October 13, 2025. |
| Keywords: |
Finite groups, non-solvable group, solvable radical. |
| Subject [2020]: |
20D60, 20D15, 20F16. |
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Abstract
We introduce an invariant β(G) for any finite group G and show that
the finite simple group PSL(2,7) is uniquely determined by the value of this invariant.
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| Acknowledgements
We thank the referee for some extremely helpful remarks, which allowed us to improve the paper.
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| Author information
Alireza Khalili Asboei
Department of Mathematics Education
Farhangian University
P.O. Box 14665-889, Tehran, Iran
a.khalili@cfu.ac.ir
Habib Rahimi Esbo
Department of Mathematics Education
Babol, Iran
hr192820@gmail.com
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