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
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/
@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 },
year = {1983},
volume = {_N_S_33},
number = {47},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a9/}
}