PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 33(47), pp. 6971 (1983) 

A GENERALIZATION OF A THEOREM OF A. D. OTTOTh. ExarchakosMarasleios Academy of Athens, Marasli Street, Athens, GreeceAbstract: In this paper we prove that if $G$ is a finite $p$group of class $c$ with $G/G'$ of exponent $p^r$ and $L_i/L_{i+}$ is cyclic of order $p^r$ for $i= 1, 2,\dots, c1$, where $L_i$, $i=0,1,\dots,c$ is the lower central series of $G$, then the order of $G$ divides the order of the group $A(G)$ of automorphisms of $G$. Classification (MSC2000): 1650, 1660; 0510 Full text of the article:
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