有限群元素阶的最小和

IF 0.7 Q2 MATHEMATICS International Journal of Group Theory Pub Date : 2019-08-14 DOI:10.22108/IJGT.2019.115910.1538

Yadollah Marefat, Maghsoud Jahani, H. Refaghat, Bahram Vakili Fasaghandisi

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引用次数: 0

摘要

设G是一个有限群，ψ（G）=∑G∈G o（G），其中o（G）表示G∈G的阶。我们证明了[群论与计算，（2018）59-90]中提出的猜想4.6.5是不正确的。事实上，我们发现了一对同阶的有限群G和S，使得ψ（G）<ψ（S），其中G是可解的，S是简单的。

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The minimum sum of element orders of finite groups

Let G be a finite group and ψ(G) = ∑ g∈G o(g), where o(g) denotes the order of g ∈ G. We show that the Conjecture 4.6.5 posed in [Group Theory and Computation, (2018) 59-90], is incorrect. In fact, we find a pair of finite groups G and S of the same order such that ψ(G) < ψ(S), with G solvable and S simple.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.

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