An improvement on the perfect order subsets of finite groups

Dan Wang ()
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Dan Wang: Qilu University of Technology (Shandong Academy of Sciences)

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 635-647

Abstract: Abstract A finite group $${{{\mathbb {G}}}}$$ G is said to have perfect order subsets if for every d, the number of elements of $$ {{{\mathbb {G}}}}$$ G of order d (if there are any) divides $$|{{{\mathbb {G}}}}|.$$ | G | . In this paper, we make a modest improvement on the result of Ford, Konyagin and Luca [3] about perfect order subsets.

Keywords: Estimates of prime numbers; Sieves; Arithmetic functions; Abelian groups; 11A25; 11N25 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00155-z

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