Geodesic
A Generalization of a Theorem of A. D. Otto
Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 69

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 $i= 1, 2,\dots, c-1$, 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 : 1650 1660 0510 
@article{PIM_1983_N_S_33_47_a9,
     author = {Theodoros Exarchakos},
     title = {A {Generalization} of a {Theorem} of {A.} {D.} {Otto}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {69 },
     publisher = {mathdoc},
     volume = {_N_S_33},
     number = {47},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a9/}
}
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Theodoros Exarchakos. A Generalization of a Theorem of A. D. Otto. Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 69 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a9/