On n-A-con-cos Groups and Determination of some 3-A-con-cos Groups

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Gholami Ahmad; Mahmudi Fatemeh

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2021 | Volume:6 | Issue:1 Page(s): 85-95

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Title

On n-A-con-cos Groups and Determination of some 3-A-con-cos Groups

Author(s)

Gholami Ahmad | Mahmudi Fatemeh | Issue Writer Certificate

Keywords

n th−autocommutator subgroup

finite abelian groups

dihedral groups

n-A-con-cos groups

Abstract

In this paper, we introduce the concept of n-A-con-cos groups, n ≥ 2, mention some properties of them and determine all finite abelian groups with at most two direct factors. As a consequence, it is proved that dihedral groups D2m in which m has at most two prime factors are n-A-con-cos.

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