Sum of Element Orders of Maximal Subgroups of the Symmetric Group |
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Authors: | H. Amiri |
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Affiliation: | Faculty of Sciences, Department of Mathematics , University of Zanjan , Zanjan , Iran |
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Abstract: | For a finite group G, let ψ(G) denote the sum of element orders of G. The aim of this article is to show that ψ(H) < ψ(A n ) for every proper subgroup H of the symmetric group of degree n, which is different from the alternating group A n . |
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Keywords: | Element orders Maximal subgroups Symmetric group |
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