Products Of Element Orders In Finite Groups

Year 2020, , 1112 - 1115, 31.12.2020

Nil Mansuroğlu

https://doi.org/10.18185/erzifbed.726807

Abstract

The aim of this note is to investigate the products of element orders in finite groups and to give some properties
of such products. Let phi′(G) denote the product of element orders of a finite group G. As an immediate
consequence, by using a different approach, we proved that phi′(G) < phi'′(G) where G is a non-cyclic finite
group and C is a cyclic group of the same order.

Keywords

Finite group, finite element orders, product of element orders

Sonlu Grupların Eleman Mertebelerinin Çarpımı

Abstract

Bu çalışmanın amacı sonlu grupların eleman mertebelerinin çarpımlarını araştırmak ve bu çarpımların bazı
özelliklerini vermektir. Bir sonlu grup G nin eleman mertebelerinin çarpımı phi′(G) olsun. Farklı bir yaklaşım
kullanarak aynı mertebeye sahip G devirli olmayan grup ve C devirli grup olmak üzere phi′(G) < phi′(C) olduğu
ispatlandı.

Keywords

Sonlu grup, grup eleman mertebeleri, eleman mertebeleri çarpımı

References

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