Recognition by the Product Element Orders

Author:

Khosravi BehroozORCID,Baniasad Azad Morteza

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Amiri, H., Jafarian Amiri, S.M., Isaacs, I.M.: Sums of element orders in finite groups. Commun. Algebra 37(9), 2978–2980 (2009)

2. Baniasad Azad, M., Khosravi, B.: A criterion for solvability of a finite group by the sum of element orders. J. Algebra 516, 115–124 (2018)

3. Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A., Wilson, R.A.: Atlas of Finite Groups. Oxford University Press, Oxford (1985)

4. Deaconescu, M.: Classification of finite groups with all elements of prime order. Proc. Am. Math. Soc. 106(3), 625–629 (1989)

5. Frobenius, G.: Verallgemeinerung des Sylow’schen Satzes. Königlich Preussische Akademie der Wissenschaften, Berlin (1895)

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1. On the product of element orders of some finite groups;Communications in Algebra;2024-01-18

2. Upper bounds for the product of element orders of finite groups;Journal of Algebraic Combinatorics;2023-03-29

3. The characterization of some cyclic groups by the product of element orders;Journal of Algebra and Its Applications;2023-01-18

4. On the sum of the inverses of the element orders in finite groups;Communications in Algebra;2022-08-18

5. On two conjectures about the sum of element orders;Canadian Mathematical Bulletin;2021-01-26

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