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Automorphisms of a finite $p$-group with cyclic Frattini subgroup | ||
International Journal of Group Theory | ||
مقاله 2، دوره 7، شماره 4، اسفند 2018، صفحه 9-16 اصل مقاله (202.7 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21219 | ||
نویسنده | ||
Rasoul Soleimani* | ||
Payame Noor University | ||
چکیده | ||
Let $G$ be a group and $Aut^{\Phi}(G)$ denote the group of all automorphisms of $G$ centralizing $G/\Phi(G)$ elementwise. In this paper, we characterize the finite $p$-groups $G$ with cyclic Frattini subgroup for which $|Aut^{\Phi}(G):Inn(G)|=p$. | ||
کلیدواژهها | ||
Automorphism group؛ Finite $p$-group؛ Frattini subgroup | ||
مراجع | ||
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