ON EQUALITY OF ABSOLUTE CENTRAL AND CLASS PRESERVING AUTOMORPHISMS OF FINITE p-GROUPS
Publish place: Journal of Algebraic Systems، Vol: 6، Issue: 2
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-6-2_006
تاریخ نمایه سازی: 18 تیر 1398
Abstract:
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 $p^n (nleq 5)$, for which every absolute central automorphism is class preserving.
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Authors
Rasoul Soleimani
Department of Mathematics, Payame Noor University (PNU), P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.