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

نویسندگان
Mahmudi, Fatemeh ID 1
Gholami, Ahmad ID 2

1 ‎Department of Mathematics, ‎Faculty of Science, ‎University of Qom, ‎Qom‎, ‎I‎. ‎R‎. ‎Iran

2 ‎Department of Mathematics, ‎Faculty of Science, ‎University of Qom, ‎Qom‎, ‎I‎. ‎R‎. ‎Iran

doi
10.22052/mir.2019.120428.1093
چکیده

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.

کلیدواژه‌ها
n th−autocommutator subgroup, finite abelian groups, dihedral groups, n-A-con-cos groups