Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $\Aut^{L}(G)$ and $\Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively. In this paper, we give a necessary and sufficient condition for $G$ such that $\Aut_c(G)=\Aut^{L}(G)$. We also characterize all finite non-abelian $p$-groups of order $p^n (n\leq 5)$, for which every absolute central automorphism is class preserving.
Soleimani, R. (2019). ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS. Journal of Algebraic Systems, 6(2), 147-155. doi: 10.22044/jas.2018.6849.1335
MLA
Rasoul Soleimani. "ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS", Journal of Algebraic Systems, 6, 2, 2019, 147-155. doi: 10.22044/jas.2018.6849.1335
HARVARD
Soleimani, R. (2019). 'ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS', Journal of Algebraic Systems, 6(2), pp. 147-155. doi: 10.22044/jas.2018.6849.1335
VANCOUVER
Soleimani, R. ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS. Journal of Algebraic Systems, 2019; 6(2): 147-155. doi: 10.22044/jas.2018.6849.1335
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