Title of article :
On n-A-con-cos Groups and Determination of some 3-A-con-cos Groups
Author/Authors :
Gholami, Ahmad Department of Mathematics - Faculty of Science - University of Qom, Qom, I. R. Iran , Mahmudi, Fatemeh Department of Mathematics - Faculty of Science - University of Qom, Qom, I. R. Iran
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.
Keywords :
n th−autocommutator subgroup , n-A-con-cos groups , finite dihedral groups , abelian groups
Journal title :
Mathematics Interdisciplinary Research