Given an integer $n$, we denote by $\mathfrak B_n$ and $\mathfrak C_n$ the classes of all groups $G$ for which the map $\phi_{n}:g\mapsto g^n$ is a monomorphism and an epimorphism of $G$, respectively. In this paper we give a characterization for groups in $\mathfrak B_n$ and for groups in $\mathfrak C_n$. We also obtain an arithmetic description of the set of all integers $n$ such that a group $G$ is in $\mathfrak B_n\cap\mathfrak C_n$.
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Delizia, C. and Tortora, A. (2012). Some special classes of n-Aabelian groups. International Journal of Group Theory, 1(2), 19-24. doi: 10.22108/ijgt.2012.474
MLA
Delizia, C. , and Tortora, A. . "Some special classes of n-Aabelian groups", International Journal of Group Theory, 1, 2, 2012, 19-24. doi: 10.22108/ijgt.2012.474
HARVARD
Delizia, C., Tortora, A. (2012). 'Some special classes of n-Aabelian groups', International Journal of Group Theory, 1(2), pp. 19-24. doi: 10.22108/ijgt.2012.474
CHICAGO
C. Delizia and A. Tortora, "Some special classes of n-Aabelian groups," International Journal of Group Theory, 1 2 (2012): 19-24, doi: 10.22108/ijgt.2012.474
VANCOUVER
Delizia, C., Tortora, A. Some special classes of n-Aabelian groups. International Journal of Group Theory, 2012; 1(2): 19-24. doi: 10.22108/ijgt.2012.474